8312128138944 has 84 divisors (see below), whose sum is σ = 27228816595344. Its totient is φ = 2374893752832.

The previous prime is 8312128138933. The next prime is 8312128138991. The reversal of 8312128138944 is 4498318212138.

8312128138944 is a `hidden beast` number, since 8 + 3 + 1 + 212 + 8 + 1 + 389 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

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 11 ways as a sum of consecutive naturals, for example, 1030765827 + ... + 1030773890.

It is an arithmetic number, because the mean of its divisors is an integer number (324152578516).

Almost surely, 2^{8312128138944} is an apocalyptic number.

8312128138944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8312128138944 is an abundant number, since it is smaller than the sum of its proper divisors (18916688456400).

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

8312128138944 is a wasteful number, since it uses less digits than its factorization.

8312128138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061539742 (or 2061539729 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 8312128138944 in words is "eight trillion, three hundred twelve billion, one hundred twenty-eight million, one hundred thirty-eight thousand, nine hundred forty-four".