170993649456 has 640 divisors, whose sum is σ = 628279787520. Its totient is φ = 43396300800.

The previous prime is 170993649451. The next prime is 170993649467. The reversal of 170993649456 is 654946399071.

170993649456 is a `hidden beast` number, since 1 + 7 + 0 + 9 + 93 + 6 + 494 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 170993649393 and 170993649402.

It is not an unprimeable number, because it can be changed into a prime (170993649451) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 65338260 + ... + 65340876.

It is an arithmetic number, because the mean of its divisors is an integer number (981687168).

Almost surely, 2^170993649456 is an apocalyptic number.

170993649456 is a gapful number since it is divisible by the number (16) 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 170993649456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314139893760).

170993649456 is an abundant number, since it is smaller than the sum of its proper divisors (457286138064).

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

170993649456 is a wasteful number, since it uses less digits than its factorization.

170993649456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 170993649456 in words is "one hundred seventy billion, nine hundred ninety-three million, six hundred forty-nine thousand, four hundred fifty-six".