38791476141264 has 120 divisors (see below), whose sum is σ = 135350345362752. Its totient is φ = 10075708085760.

The previous prime is 38791476141227. The next prime is 38791476141311. The reversal of 38791476141264 is 46214167419783.

It is a happy number.

38791476141264 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 1 + 4 + 7 + 614 + 1 + 2 + 6 + 4 = 666.

38791476141264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1749243789 + ... + 1749265964.

Almost surely, 2^{38791476141264} is an apocalyptic number.

It is an amenable number.

38791476141264 is an abundant number, since it is smaller than the sum of its proper divisors (96558869221488).

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

38791476141264 is a wasteful number, since it uses less digits than its factorization.

38791476141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498509785 (or 3498509776 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 38791476141264 in words is "thirty-eight trillion, seven hundred ninety-one billion, four hundred seventy-six million, one hundred forty-one thousand, two hundred sixty-four".