165396907368 has 320 divisors, whose sum is σ = 578365286400. Its totient is φ = 42901591680.

The previous prime is 165396907363. The next prime is 165396907409. The reversal of 165396907368 is 863709693561.

165396907368 is a `hidden beast` number, since 1 + 6 + 539 + 6 + 90 + 7 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×165396907368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (165396907363) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45852621 + ... + 45856227.

It is an arithmetic number, because the mean of its divisors is an integer number (1807391520).

Almost surely, 2^165396907368 is an apocalyptic number.

165396907368 is a gapful number since it is divisible by the number (18) 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 165396907368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289182643200).

165396907368 is an abundant number, since it is smaller than the sum of its proper divisors (412968379032).

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

165396907368 is a wasteful number, since it uses less digits than its factorization.

165396907368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 165396907368 in words is "one hundred sixty-five billion, three hundred ninety-six million, nine hundred seven thousand, three hundred sixty-eight".