13149360291375 has 1280 divisors, whose sum is σ = 32732542402560. Its totient is φ = 5094835200000.

The previous prime is 13149360291283. The next prime is 13149360291401. The reversal of 13149360291375 is 57319206394131.

13149360291375 is a `hidden beast` number, since 1 + 3 + 1 + 493 + 60 + 2 + 91 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 13149360291375 - 2⁹ = 13149360290863 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 135560415327 + ... + 135560415423.

It is an arithmetic number, because the mean of its divisors is an integer number (25572298752).

Almost surely, 2^{13149360291375} is an apocalyptic number.

13149360291375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13149360291375 is an abundant number, since it is smaller than the sum of its proper divisors (19583182111185).

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

13149360291375 is a wasteful number, since it uses less digits than its factorization.

13149360291375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 13149360291375 in words is "thirteen trillion, one hundred forty-nine billion, three hundred sixty million, two hundred ninety-one thousand, three hundred seventy-five".