315570989362464 has 384 divisors, whose sum is σ = 1049756984156160. Its totient is φ = 91294253107200.

The previous prime is 315570989362357. The next prime is 315570989362493. The reversal of 315570989362464 is 464263989075513.

315570989362464 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 70 + 9 + 8 + 93 + 6 + 2 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 315570989362392 and 315570989362401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112500969 + ... + 115271895.

It is an arithmetic number, because the mean of its divisors is an integer number (2733742146240).

It is a 1-persistent number, because it is pandigital, but 2⋅315570989362464 = 631141978724928 is not.

Almost surely, 2^{315570989362464} 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 315570989362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524878492078080).

315570989362464 is an abundant number, since it is smaller than the sum of its proper divisors (734185994793696).

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

315570989362464 is a wasteful number, since it uses less digits than its factorization.

315570989362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771501 (or 2771487 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 315570989362464 in words is "three hundred fifteen trillion, five hundred seventy billion, nine hundred eighty-nine million, three hundred sixty-two thousand, four hundred sixty-four".