315165316386816 has 2925 divisors, whose sum is σ = 1199134444354539. Its totient is φ = 82459787526144.

The previous prime is 315165316386803. The next prime is 315165316386827. The reversal of 315165316386816 is 618683613561513.

The square root of 315165316386816 is 17752896.

It is a perfect power (a square), and thus also a powerful number.

315165316386816 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 6 + 531 + 6 + 3 + 86 + 8 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146605988745216 + 168559327641600 = 12108096^2 + 12983040^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 224 ways as a sum of consecutive naturals, for example, 8517981523950 + ... + 8517981523986.

Almost surely, 2^{315165316386816} is an apocalyptic number.

315165316386816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

315165316386816 is the 17752896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315165316386816

315165316386816 is an abundant number, since it is smaller than the sum of its proper divisors (883969127967723).

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

315165316386816 is an frugal number, since it uses more digits than its factorization.

315165316386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 66 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 315165316386816 in words is "three hundred fifteen trillion, one hundred sixty-five billion, three hundred sixteen million, three hundred eighty-six thousand, eight hundred sixteen".