164468693520 has 120 divisors (see below), whose sum is σ = 552419142912. Its totient is φ = 43852089600.

The previous prime is 164468693489. The next prime is 164468693579. The reversal of 164468693520 is 25396864461.

164468693520 is a `hidden beast` number, since 16 + 4 + 46 + 8 + 69 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×164468693520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7427265 + ... + 7449375.

Almost surely, 2^164468693520 is an apocalyptic number.

164468693520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164468693520 is an abundant number, since it is smaller than the sum of its proper divisors (387950449392).

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

164468693520 is a wasteful number, since it uses less digits than its factorization.

164468693520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32461 (or 32452 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 164468693520 in words is "one hundred sixty-four billion, four hundred sixty-eight million, six hundred ninety-three thousand, five hundred twenty".