13349376600768 has 672 divisors, whose sum is σ = 46014419243520. Its totient is φ = 3800301649920.

The previous prime is 13349376600757. The next prime is 13349376600817. The reversal of 13349376600768 is 86700667394331.

13349376600768 is a `hidden beast` number, since 1 + 3 + 3 + 493 + 76 + 6 + 0 + 0 + 76 + 8 = 666.

It is a super-3 number, since 3×13349376600768³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202749613 + ... + 202815443.

It is an arithmetic number, because the mean of its divisors is an integer number (68473838160).

Almost surely, 2^{13349376600768} is an apocalyptic number.

13349376600768 is a gapful number since it is divisible by the number (18) 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 13349376600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23007209621760).

13349376600768 is an abundant number, since it is smaller than the sum of its proper divisors (32665042642752).

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

13349376600768 is a wasteful number, since it uses less digits than its factorization.

13349376600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65947 (or 65925 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 13349376600768 in words is "thirteen trillion, three hundred forty-nine billion, three hundred seventy-six million, six hundred thousand, seven hundred sixty-eight".