312404153540032 has 56 divisors (see below), whose sum is σ = 667730420086400. Its totient is φ = 144539498186496.

The previous prime is 312404153540021. The next prime is 312404153540111. The reversal of 312404153540032 is 230045351404213.

It is a super-3 number, since 3×312404153540032³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 312404153539973 and 312404153540000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2987288532 + ... + 2987393107.

Almost surely, 2^{312404153540032} is an apocalyptic number.

312404153540032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312404153540032 is an abundant number, since it is smaller than the sum of its proper divisors (355326266546368).

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

312404153540032 is a wasteful number, since it uses less digits than its factorization.

312404153540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974681713 (or 5974681703 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 312404153540032 in words is "three hundred twelve trillion, four hundred four billion, one hundred fifty-three million, five hundred forty thousand, thirty-two".