38165145852960 has 480 divisors, whose sum is σ = 160625492197632. Its totient is φ = 8344180500480.

The previous prime is 38165145852947. The next prime is 38165145852991. The reversal of 38165145852960 is 6925854156183.

38165145852960 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 5 + 1 + 45 + 8 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7058911 + ... + 11232030.

Almost surely, 2^{38165145852960} is an apocalyptic number.

38165145852960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38165145852960 is an abundant number, since it is smaller than the sum of its proper divisors (122460346344672).

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

38165145852960 is a wasteful number, since it uses less digits than its factorization.

38165145852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18290998 (or 18290981 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 38165145852960 in words is "thirty-eight trillion, one hundred sixty-five billion, one hundred forty-five million, eight hundred fifty-two thousand, nine hundred sixty".