312812264448 has 660 divisors, whose sum is σ = 1020692367552. Its totient is φ = 95312609280.

The previous prime is 312812264447. The next prime is 312812264489. The reversal of 312812264448 is 844462218213.

312812264448 is a `hidden beast` number, since 3 + 1 + 28 + 122 + 64 + 448 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312812264447) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 928226136 + ... + 928226472.

Almost surely, 2^312812264448 is an apocalyptic number.

312812264448 is a gapful number since it is divisible by the number (38) 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 312812264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510346183776).

312812264448 is an abundant number, since it is smaller than the sum of its proper divisors (707880103104).

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

312812264448 is a wasteful number, since it uses less digits than its factorization.

312812264448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 392 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 312812264448 in words is "three hundred twelve billion, eight hundred twelve million, two hundred sixty-four thousand, four hundred forty-eight".