315553632456660 has 144 divisors (see below), whose sum is σ = 966216388959360. Its totient is φ = 76905683212800.

The previous prime is 315553632456641. The next prime is 315553632456677. The reversal of 315553632456660 is 66654236355513.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 315553632456594 and 315553632456603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153033720 + ... + 155081999.

It is an arithmetic number, because the mean of its divisors is an integer number (6709836034440).

Almost surely, 2^{315553632456660} is an apocalyptic number.

315553632456660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315553632456660 is an abundant number, since it is smaller than the sum of its proper divisors (650662756502700).

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

315553632456660 is a wasteful number, since it uses less digits than its factorization.

315553632456660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308115858 (or 308115843 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 60.

The spelling of 315553632456660 in words is "three hundred fifteen trillion, five hundred fifty-three billion, six hundred thirty-two million, four hundred fifty-six thousand, six hundred sixty".