162219552768 has 832 divisors, whose sum is σ = 601809152000. Its totient is φ = 42568187904.

The previous prime is 162219552739. The next prime is 162219552773. The reversal of 162219552768 is 867255912261.

162219552768 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 19 + 552 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3628800) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815173533 + ... + 815173731.

Almost surely, 2^162219552768 is an apocalyptic number.

162219552768 is a gapful number since it is divisible by the number (18) 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 162219552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300904576000).

162219552768 is an abundant number, since it is smaller than the sum of its proper divisors (439589599232).

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

162219552768 is an frugal number, since it uses more digits than its factorization.

162219552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 224 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 162219552768 in words is "one hundred sixty-two billion, two hundred nineteen million, five hundred fifty-two thousand, seven hundred sixty-eight".