38432506653024 has 96 divisors (see below), whose sum is σ = 116530648569216. Its totient is φ = 10961142712320.

The previous prime is 38432506652989. The next prime is 38432506653067. The reversal of 38432506653024 is 42035660523483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1070406142 + ... + 1070442045.

It is an arithmetic number, because the mean of its divisors is an integer number (1213860922596).

Almost surely, 2^{38432506653024} is an apocalyptic number.

38432506653024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38432506653024 is an abundant number, since it is smaller than the sum of its proper divisors (78098141916192).

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

38432506653024 is a wasteful number, since it uses less digits than its factorization.

38432506653024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140848228 (or 2140848220 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 38432506653024 in words is "thirty-eight trillion, four hundred thirty-two billion, five hundred six million, six hundred fifty-three thousand, twenty-four".