12915413316 has 243 divisors, whose sum is σ = 37322720253. Its totient is φ = 3763955520.

The previous prime is 12915413293. The next prime is 12915413351. The reversal of 12915413316 is 61331451921.

The square root of 12915413316 is 113646.

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

12915413316 is a `hidden beast` number, since 1 + 291 + 54 + 1 + 3 + 316 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1910564100 + 11004849216 = 43710^2 + 104904^2 .

It is a super-2 number, since 2×12915413316² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 274796005 + ... + 274796051.

Almost surely, 2^12915413316 is an apocalyptic number.

12915413316 is the 113646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12915413316

12915413316 is an abundant number, since it is smaller than the sum of its proper divisors (24407306937).

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

12915413316 is a wasteful number, since it uses less digits than its factorization.

12915413316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

Multiplying 12915413316 by its sum of digits (36), we get a square (464954879376 = 681876²).

12915413316 divided by its sum of digits (36) gives a square (358761481 = 18941²).

The spelling of 12915413316 in words is "twelve billion, nine hundred fifteen million, four hundred thirteen thousand, three hundred sixteen".