1336515792768 has 144 divisors (see below), whose sum is σ = 4164564540240. Its totient is φ = 411235568640.

The previous prime is 1336515792751. The next prime is 1336515792811. The reversal of 1336515792768 is 8672975156331.

1336515792768 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 51 + 579 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1336515792768² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3237768 + ... + 3627143.

It is an arithmetic number, because the mean of its divisors is an integer number (28920587085).

Almost surely, 2^{1336515792768} is an apocalyptic number.

1336515792768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1336515792768 is an abundant number, since it is smaller than the sum of its proper divisors (2828048747472).

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

1336515792768 is a wasteful number, since it uses less digits than its factorization.

1336515792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864957 (or 6864929 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 1336515792768 in words is "one trillion, three hundred thirty-six billion, five hundred fifteen million, seven hundred ninety-two thousand, seven hundred sixty-eight".