312404153535342 has 96 divisors (see below), whose sum is σ = 761429218717440. Its totient is φ = 91747302480000.

The previous prime is 312404153535317. The next prime is 312404153535361. The reversal of 312404153535342 is 243535351404213.

312404153535342 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 0 + 41 + 535 + 35 + 3 + 42 = 666.

It is a super-2 number, since 2×312404153535342² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126200992 + ... + 128652627.

It is an arithmetic number, because the mean of its divisors is an integer number (7931554361640).

Almost surely, 2^{312404153535342} is an apocalyptic number.

312404153535342 is an abundant number, since it is smaller than the sum of its proper divisors (449025065182098).

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

312404153535342 is a wasteful number, since it uses less digits than its factorization.

312404153535342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254853830 (or 254853827 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 312404153535342 in words is "three hundred twelve trillion, four hundred four billion, one hundred fifty-three million, five hundred thirty-five thousand, three hundred forty-two".