312125091768 has 192 divisors, whose sum is σ = 1017824148000. Its totient is φ = 88360118784.

The previous prime is 312125091679. The next prime is 312125091769. The reversal of 312125091768 is 867190521213.

312125091768 is a `hidden beast` number, since 3 + 121 + 2 + 509 + 17 + 6 + 8 = 666.

It is a super-2 number, since 2×312125091768² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312125091769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018380 + ... + 1288932.

Almost surely, 2^312125091768 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 312125091768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508912074000).

312125091768 is an abundant number, since it is smaller than the sum of its proper divisors (705699056232).

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

312125091768 is a wasteful number, since it uses less digits than its factorization.

312125091768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270691 (or 270674 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 312125091768 in words is "three hundred twelve billion, one hundred twenty-five million, ninety-one thousand, seven hundred sixty-eight".