312257438268102 has 64 divisors (see below), whose sum is σ = 740009164204800. Its totient is φ = 97258347216000.

The previous prime is 312257438268067. The next prime is 312257438268121. The reversal of 312257438268102 is 201862834752213.

312257438268102 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 574 + 3 + 8 + 2 + 68 + 1 + 0 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1223432524 + ... + 1223687727.

It is an arithmetic number, because the mean of its divisors is an integer number (11562643190700).

Almost surely, 2^{312257438268102} is an apocalyptic number.

312257438268102 is an abundant number, since it is smaller than the sum of its proper divisors (427751725936698).

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

312257438268102 is a wasteful number, since it uses less digits than its factorization.

312257438268102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447120418 (or 2447120412 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 312257438268102 in words is "three hundred twelve trillion, two hundred fifty-seven billion, four hundred thirty-eight million, two hundred sixty-eight thousand, one hundred two".