165025631232 has 1188 divisors, whose sum is σ = 643013301840. Its totient is φ = 41385738240.

The previous prime is 165025631201. The next prime is 165025631263. The reversal of 165025631232 is 232136520561.

165025631232 is a `hidden beast` number, since 1 + 6 + 50 + 2 + 563 + 12 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (165025631201) and next prime (165025631263).

It is a tau number, because it is divible by the number of its divisors (1188).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5690538994 + ... + 5690539022.

Almost surely, 2^165025631232 is an apocalyptic number.

165025631232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165025631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321506650920).

165025631232 is an abundant number, since it is smaller than the sum of its proper divisors (477987670608).

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

165025631232 is an frugal number, since it uses more digits than its factorization.

165025631232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 165025631232 in words is "one hundred sixty-five billion, twenty-five million, six hundred thirty-one thousand, two hundred thirty-two".