315620235400416 has 96 divisors (see below), whose sum is σ = 872266535078400. Its totient is φ = 99651492034560.

The previous prime is 315620235400411. The next prime is 315620235400469. The reversal of 315620235400416 is 614004532026513.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×315620235400416² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315620235400411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5600536 + ... + 25741143.

It is an arithmetic number, because the mean of its divisors is an integer number (9086109740400).

Almost surely, 2^{315620235400416} is an apocalyptic number.

It is an amenable number.

315620235400416 is an abundant number, since it is smaller than the sum of its proper divisors (556646299677984).

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

315620235400416 is a wasteful number, since it uses less digits than its factorization.

315620235400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31347232 (or 31347224 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 315620235400416 its reverse (614004532026513), we get a palindrome (929624767426929).

The spelling of 315620235400416 in words is "three hundred fifteen trillion, six hundred twenty billion, two hundred thirty-five million, four hundred thousand, four hundred sixteen".