315522231253264 has 320 divisors, whose sum is σ = 800659693785600. Its totient is φ = 117210788757504.

The previous prime is 315522231253249. The next prime is 315522231253291. The reversal of 315522231253264 is 462352132225513.

It is a happy number.

It is a super-2 number, since 2×315522231253264² (a number of 30 digits) contains 22 as substring.

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, 208233874 + ... + 209743630.

It is an arithmetic number, because the mean of its divisors is an integer number (2502061543080).

Almost surely, 2^{315522231253264} is an apocalyptic number.

315522231253264 is a gapful number since it is divisible by the number (34) 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 315522231253264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400329846892800).

315522231253264 is an abundant number, since it is smaller than the sum of its proper divisors (485137462532336).

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

315522231253264 is a wasteful number, since it uses less digits than its factorization.

315522231253264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509970 (or 1509964 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 46.

Adding to 315522231253264 its reverse (462352132225513), we get a palindrome (777874363478777).

The spelling of 315522231253264 in words is "three hundred fifteen trillion, five hundred twenty-two billion, two hundred thirty-one million, two hundred fifty-three thousand, two hundred sixty-four".