13726376484768 has 72 divisors (see below), whose sum is σ = 39039398415108. Its totient is φ = 4574870956032.

The previous prime is 13726376484757. The next prime is 13726376484787. The reversal of 13726376484768 is 86748467362731.

13726376484768 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 6 + 3 + 76 + 484 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10320978666384 + 3405397818384 = 3212628^2 + 1845372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13726376484768² (a number of 27 digits) contains 22 as substring.

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 = 13726376484696 and 13726376484705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813555 + ... + 5302322.

Almost surely, 2^{13726376484768} is an apocalyptic number.

13726376484768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13726376484768 is an abundant number, since it is smaller than the sum of its proper divisors (25313021930340).

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

13726376484768 is a wasteful number, since it uses less digits than its factorization.

13726376484768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123686 (or 6123675 counting only the distinct ones).

The product of its digits is 1365590016, while the sum is 72.

The spelling of 13726376484768 in words is "thirteen trillion, seven hundred twenty-six billion, three hundred seventy-six million, four hundred eighty-four thousand, seven hundred sixty-eight".