312553063152 has 400 divisors, whose sum is σ = 1005272801280. Its totient is φ = 92960524800.

The previous prime is 312553063133. The next prime is 312553063181. The reversal of 312553063152 is 251360355213.

312553063152 is a `hidden beast` number, since 3 + 12 + 5 + 5 + 3 + 0 + 631 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 215108058 + ... + 215109510.

Almost surely, 2^312553063152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312553063152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502636400640).

312553063152 is an abundant number, since it is smaller than the sum of its proper divisors (692719738128).

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

312553063152 is a wasteful number, since it uses less digits than its factorization.

312553063152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 312553063152 in words is "three hundred twelve billion, five hundred fifty-three million, sixty-three thousand, one hundred fifty-two".