312908354880 has 224 divisors, whose sum is σ = 1084533995520. Its totient is φ = 75805255680.

The previous prime is 312908354873. The next prime is 312908354881. The reversal of 312908354880 is 88453809213.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312908354881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16960701 + ... + 16979139.

Almost surely, 2^312908354880 is an apocalyptic number.

312908354880 is a gapful number since it is divisible by the number (30) 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 312908354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542266997760).

312908354880 is an abundant number, since it is smaller than the sum of its proper divisors (771625640640).

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

312908354880 is a wasteful number, since it uses less digits than its factorization.

312908354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20077 (or 20067 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 312908354880 in words is "three hundred twelve billion, nine hundred eight million, three hundred fifty-four thousand, eight hundred eighty".