165900431712 has 48 divisors (see below), whose sum is σ = 435578940720. Its totient is φ = 55288676352.

The previous prime is 165900431707. The next prime is 165900431717. The reversal of 165900431712 is 217134009561.

It is an interprime number because it is at equal distance from previous prime (165900431707) and next prime (165900431717).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165900431717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292608 + ... + 646080.

It is an arithmetic number, because the mean of its divisors is an integer number (9074561265).

Almost surely, 2^165900431712 is an apocalyptic number.

165900431712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165900431712 is an abundant number, since it is smaller than the sum of its proper divisors (269678509008).

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

165900431712 is a wasteful number, since it uses less digits than its factorization.

165900431712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358375 (or 358367 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 165900431712 in words is "one hundred sixty-five billion, nine hundred million, four hundred thirty-one thousand, seven hundred twelve".