3112793102016 has 224 divisors, whose sum is σ = 10095328958400. Its totient is φ = 934421667840.

The previous prime is 3112793101997. The next prime is 3112793102033. The reversal of 3112793102016 is 6102013972113.

3112793102016 is a `hidden beast` number, since 311 + 2 + 7 + 9 + 310 + 20 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 768831 + ... + 2610878.

It is an arithmetic number, because the mean of its divisors is an integer number (45068432850).

Almost surely, 2^{3112793102016} is an apocalyptic number.

3112793102016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3112793102016 is an abundant number, since it is smaller than the sum of its proper divisors (6982535856384).

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

3112793102016 is a wasteful number, since it uses less digits than its factorization.

3112793102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379784 (or 3379768 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 3112793102016 in words is "three trillion, one hundred twelve billion, seven hundred ninety-three million, one hundred two thousand, sixteen".