165399171264 has 224 divisors, whose sum is σ = 507583236800. Its totient is φ = 52762337280.

The previous prime is 165399171253. The next prime is 165399171281. The reversal of 165399171264 is 462171993561.

165399171264 is a `hidden beast` number, since 1 + 6 + 539 + 91 + 7 + 12 + 6 + 4 = 666.

165399171264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 165399171264.

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, 3878892 + ... + 3921300.

Almost surely, 2^165399171264 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 165399171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253791618400).

165399171264 is an abundant number, since it is smaller than the sum of its proper divisors (342184065536).

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

165399171264 is a wasteful number, since it uses less digits than its factorization.

165399171264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42528 (or 42512 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 165399171264 in words is "one hundred sixty-five billion, three hundred ninety-nine million, one hundred seventy-one thousand, two hundred sixty-four".