38432505017115 has 256 divisors, whose sum is σ = 78929709465600. Its totient is φ = 17559852710400.

The previous prime is 38432505017099. The next prime is 38432505017149. The reversal of 38432505017115 is 51171050523483.

38432505017115 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 25 + 0 + 501 + 7 + 115 = 666.

It is not a de Polignac number, because 38432505017115 - 2⁴ = 38432505017099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3829077877 + ... + 3829087913.

It is an arithmetic number, because the mean of its divisors is an integer number (308319177600).

Almost surely, 2^{38432505017115} is an apocalyptic number.

38432505017115 is an abundant number, since it is smaller than the sum of its proper divisors (40497204448485).

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

38432505017115 is a wasteful number, since it uses less digits than its factorization.

38432505017115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11735 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 38432505017115 in words is "thirty-eight trillion, four hundred thirty-two billion, five hundred five million, seventeen thousand, one hundred fifteen".