13045682976768 has 288 divisors, whose sum is σ = 42079520574000. Its totient is φ = 4014054309888.

The previous prime is 13045682976727. The next prime is 13045682976779. The reversal of 13045682976768 is 86767928654031.

13045682976768 is a `hidden beast` number, since 1 + 3 + 0 + 456 + 82 + 97 + 6 + 7 + 6 + 8 = 666.

13045682976768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13045682976696 and 13045682976705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5461408 + ... + 7477856.

It is a 1-persistent number, because it is pandigital, but 2⋅13045682976768 = 26091365953536 is not.

Almost surely, 2^{13045682976768} is an apocalyptic number.

13045682976768 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 13045682976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039760287000).

13045682976768 is an abundant number, since it is smaller than the sum of its proper divisors (29033837597232).

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

13045682976768 is an equidigital number, since it uses as much as digits as its factorization.

13045682976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016499 (or 2016467 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 13045682976768 in words is "thirteen trillion, forty-five billion, six hundred eighty-two million, nine hundred seventy-six thousand, seven hundred sixty-eight".