312138735840684 has 144 divisors (see below), whose sum is σ = 818457877837600. Its totient is φ = 100230567478272.

The previous prime is 312138735840683. The next prime is 312138735840731. The reversal of 312138735840684 is 486048537831213.

It is a happy number.

312138735840684 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 38 + 73 + 58 + 406 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (312138735840683) 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, 5151709062 + ... + 5151769650.

Almost surely, 2^{312138735840684} 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 312138735840684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409228938918800).

312138735840684 is an abundant number, since it is smaller than the sum of its proper divisors (506319141996916).

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

312138735840684 is a wasteful number, since it uses less digits than its factorization.

312138735840684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106304 (or 106299 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 312138735840684 in words is "three hundred twelve trillion, one hundred thirty-eight billion, seven hundred thirty-five million, eight hundred forty thousand, six hundred eighty-four".