165116623140252 has 120 divisors (see below), whose sum is σ = 500259440862720. Its totient is φ = 46511724782880.

The previous prime is 165116623140229. The next prime is 165116623140253. The reversal of 165116623140252 is 252041326611561.

165116623140252 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 1 + 6 + 6 + 231 + 402 + 5 + 2 = 666.

165116623140252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165116623140198 and 165116623140207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165116623140253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 512534352 + ... + 512856407.

It is an arithmetic number, because the mean of its divisors is an integer number (4168828673856).

Almost surely, 2^{165116623140252} is an apocalyptic number.

165116623140252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165116623140252 is an abundant number, since it is smaller than the sum of its proper divisors (335142817722468).

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

165116623140252 is a wasteful number, since it uses less digits than its factorization.

165116623140252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025390853 (or 1025390842 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 165116623140252 in words is "one hundred sixty-five trillion, one hundred sixteen billion, six hundred twenty-three million, one hundred forty thousand, two hundred fifty-two".