38432755514160 has 240 divisors, whose sum is σ = 147512080033344. Its totient is φ = 8784421152768.

The previous prime is 38432755514099. The next prime is 38432755514161. The reversal of 38432755514160 is 6141555723483.

It is a happy number.

38432755514160 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 2 + 75 + 551 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×38432755514160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38432755514097 and 38432755514106.

It is not an unprimeable number, because it can be changed into a prime (38432755514161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335269014 + ... + 335383626.

Almost surely, 2^{38432755514160} is an apocalyptic number.

38432755514160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38432755514160 is an abundant number, since it is smaller than the sum of its proper divisors (109079324519184).

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

38432755514160 is a wasteful number, since it uses less digits than its factorization.

38432755514160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181172 (or 181163 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 38432755514160 in words is "thirty-eight trillion, four hundred thirty-two billion, seven hundred fifty-five million, five hundred fourteen thousand, one hundred sixty".