163277773553664 has 3840 divisors, whose sum is σ = 665613717995520. Its totient is φ = 38784348979200.

The previous prime is 163277773553663. The next prime is 163277773553681. The reversal of 163277773553664 is 466355377772361.

163277773553664 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 7 + 7 + 7 + 7 + 3 + 553 + 6 + 64 = 666.

It is a super-3 number, since 3×163277773553664³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (2800526400) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 163277773553592 and 163277773553601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163277773553663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1967202090967 + ... + 1967202091049.

It is an arithmetic number, because the mean of its divisors is an integer number (173336905728).

Almost surely, 2^{163277773553664} is an apocalyptic number.

163277773553664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163277773553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332806858997760).

163277773553664 is an abundant number, since it is smaller than the sum of its proper divisors (502335944441856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163277773553664 is an frugal number, since it uses more digits than its factorization.

163277773553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 160 counting only the distinct ones).

The product of its digits is 2800526400, while the sum is 72.

The spelling of 163277773553664 in words is "one hundred sixty-three trillion, two hundred seventy-seven billion, seven hundred seventy-three million, five hundred fifty-three thousand, six hundred sixty-four".