315014042064645 has 256 divisors, whose sum is σ = 741035105280000. Its totient is φ = 124024657870080.

The previous prime is 315014042064563. The next prime is 315014042064661. The reversal of 315014042064645 is 546460240410513.

315014042064645 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 140 + 42 + 0 + 6 + 464 + 5 = 666.

It is not a de Polignac number, because 315014042064645 - 2⁹ = 315014042064133 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 315014042064645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17307331 + ... + 30488879.

It is an arithmetic number, because the mean of its divisors is an integer number (2894668380000).

Almost surely, 2^{315014042064645} is an apocalyptic number.

315014042064645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315014042064645 is an abundant number, since it is smaller than the sum of its proper divisors (426021063215355).

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

315014042064645 is a wasteful number, since it uses less digits than its factorization.

315014042064645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181622 (or 13181594 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 315014042064645 in words is "three hundred fifteen trillion, fourteen billion, forty-two million, sixty-four thousand, six hundred forty-five".