13415198976 has 243 divisors, whose sum is σ = 41146190631. Its totient is φ = 4203021312.

The previous prime is 13415198959. The next prime is 13415198981. The reversal of 13415198976 is 67989151431.

The square root of 13415198976 is 115824.

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

13415198976 is a `hidden beast` number, since 1 + 3 + 41 + 519 + 89 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105631425 + ... + 105631551.

Almost surely, 2^13415198976 is an apocalyptic number.

13415198976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13415198976 is the 115824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13415198976

13415198976 is an abundant number, since it is smaller than the sum of its proper divisors (27730991655).

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

13415198976 is an equidigital number, since it uses as much as digits as its factorization.

13415198976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 151 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 13415198976 in words is "thirteen billion, four hundred fifteen million, one hundred ninety-eight thousand, nine hundred seventy-six".