312398824320 has 768 divisors, whose sum is σ = 1228810564800. Its totient is φ = 72459878400.

The previous prime is 312398824313. The next prime is 312398824351. The reversal of 312398824320 is 23428893213.

312398824320 is a `hidden beast` number, since 3 + 12 + 398 + 8 + 243 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137680146 + ... + 137682414.

Almost surely, 2^312398824320 is an apocalyptic number.

312398824320 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 312398824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614405282400).

312398824320 is an abundant number, since it is smaller than the sum of its proper divisors (916411740480).

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

312398824320 is a wasteful number, since it uses less digits than its factorization.

312398824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 312398824320 in words is "three hundred twelve billion, three hundred ninety-eight million, eight hundred twenty-four thousand, three hundred twenty".