164960288064 has 168 divisors, whose sum is σ = 555491550432. Its totient is φ = 46142714880.

The previous prime is 164960288063. The next prime is 164960288083. The reversal of 164960288064 is 460882069461.

164960288064 is a `hidden beast` number, since 16 + 496 + 0 + 2 + 8 + 80 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164960288064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164960288063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918994 + ... + 1083729.

It is an arithmetic number, because the mean of its divisors is an integer number (3306497324).

Almost surely, 2^164960288064 is an apocalyptic number.

It is an amenable number.

164960288064 is an abundant number, since it is smaller than the sum of its proper divisors (390531262368).

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

164960288064 is a wasteful number, since it uses less digits than its factorization.

164960288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002765 (or 2002752 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 164960288064 in words is "one hundred sixty-four billion, nine hundred sixty million, two hundred eighty-eight thousand, sixty-four".