312293708352 has 168 divisors, whose sum is σ = 948984022272. Its totient is φ = 98016998400.

The previous prime is 312293708347. The next prime is 312293708381. The reversal of 312293708352 is 253807392213.

312293708352 is a `hidden beast` number, since 3 + 1 + 2 + 293 + 7 + 0 + 8 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312293708298 and 312293708307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424327 + ... + 897017.

Almost surely, 2^312293708352 is an apocalyptic number.

312293708352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312293708352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474492011136).

312293708352 is an abundant number, since it is smaller than the sum of its proper divisors (636690313920).

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

312293708352 is a wasteful number, since it uses less digits than its factorization.

312293708352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472777 (or 472764 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 312293708352 in words is "three hundred twelve billion, two hundred ninety-three million, seven hundred eight thousand, three hundred fifty-two".