315274752000 has 1248 divisors, whose sum is σ = 1293027328320. Its totient is φ = 73256140800.

The previous prime is 315274751983. The next prime is 315274752029. The reversal of 315274752000 is 257472513.

315274752000 is a `hidden beast` number, since 315 + 2 + 74 + 75 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 95 ways as a sum of consecutive naturals, for example, 1138175862 + ... + 1138176138.

It is an arithmetic number, because the mean of its divisors is an integer number (1036079590).

Almost surely, 2^315274752000 is an apocalyptic number.

315274752000 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 315274752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646513664160).

315274752000 is an abundant number, since it is smaller than the sum of its proper divisors (977752576320).

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

315274752000 is a wasteful number, since it uses less digits than its factorization.

315274752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 315274752000 in words is "three hundred fifteen billion, two hundred seventy-four million, seven hundred fifty-two thousand".