38793301456 has 160 divisors (see below), whose sum is σ = 94373959680. Its totient is φ = 15038811648.

The previous prime is 38793301447. The next prime is 38793301483. The reversal of 38793301456 is 65410339783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40116685 + ... + 40117651.

It is an arithmetic number, because the mean of its divisors is an integer number (589837248).

Almost surely, 2^38793301456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38793301456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47186979840).

38793301456 is an abundant number, since it is smaller than the sum of its proper divisors (55580658224).

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

38793301456 is a wasteful number, since it uses less digits than its factorization.

38793301456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 38793301456 in words is "thirty-eight billion, seven hundred ninety-three million, three hundred one thousand, four hundred fifty-six".