165715974144 has 1440 divisors, whose sum is σ = 643945302000. Its totient is φ = 42138206208.

The previous prime is 165715974139. The next prime is 165715974157. The reversal of 165715974144 is 441479517561.

165715974144 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 1 + 597 + 4 + 1 + 44 = 666.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 4478810094 + ... + 4478810130.

Almost surely, 2^165715974144 is an apocalyptic number.

165715974144 is a gapful number since it is divisible by the number (14) 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 165715974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321972651000).

165715974144 is an abundant number, since it is smaller than the sum of its proper divisors (478229327856).

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

165715974144 is a wasteful number, since it uses less digits than its factorization.

165715974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 165715974144 in words is "one hundred sixty-five billion, seven hundred fifteen million, nine hundred seventy-four thousand, one hundred forty-four".