312898705056 has 288 divisors, whose sum is σ = 1074492252288. Its totient is φ = 87712035840.

The previous prime is 312898704973. The next prime is 312898705069. The reversal of 312898705056 is 650507898213.

312898705056 is a `hidden beast` number, since 3 + 128 + 9 + 8 + 7 + 0 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 312898704993 and 312898705011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830666 + ... + 2939126.

It is an arithmetic number, because the mean of its divisors is an integer number (3730875876).

Almost surely, 2^312898705056 is an apocalyptic number.

312898705056 is a gapful number since it is divisible by the number (36) 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 312898705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537246126144).

312898705056 is an abundant number, since it is smaller than the sum of its proper divisors (761593547232).

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

312898705056 is a wasteful number, since it uses less digits than its factorization.

312898705056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108546 (or 108526 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 312898705056 in words is "three hundred twelve billion, eight hundred ninety-eight million, seven hundred five thousand, fifty-six".