164926792034304 has 384 divisors, whose sum is σ = 471394984919040. Its totient is φ = 51144597504000.

The previous prime is 164926792034269. The next prime is 164926792034317. The reversal of 164926792034304 is 403430297629461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×164926792034304² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 20135118849 + ... + 20135127039.

It is an arithmetic number, because the mean of its divisors is an integer number (1227591106560).

Almost surely, 2^{164926792034304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164926792034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235697492459520).

164926792034304 is an abundant number, since it is smaller than the sum of its proper divisors (306468192884736).

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

164926792034304 is a wasteful number, since it uses less digits than its factorization.

164926792034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 164926792034304 in words is "one hundred sixty-four trillion, nine hundred twenty-six billion, seven hundred ninety-two million, thirty-four thousand, three hundred four".