12733900404768 has 72 divisors (see below), whose sum is σ = 36342758851308. Its totient is φ = 4229309855232.

The previous prime is 12733900404749. The next prime is 12733900404857. The reversal of 12733900404768 is 86740400933721.

12733900404768 is a `hidden beast` number, since 12 + 7 + 33 + 90 + 0 + 40 + 476 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12368247989904 + 365652414864 = 3516852^2 + 604692^2 .

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

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, 79730571 + ... + 79890122.

Almost surely, 2^{12733900404768} is an apocalyptic number.

12733900404768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12733900404768 is an abundant number, since it is smaller than the sum of its proper divisors (23608858446540).

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

12733900404768 is a wasteful number, since it uses less digits than its factorization.

12733900404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159620986 (or 159620975 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 12733900404768 in words is "twelve trillion, seven hundred thirty-three billion, nine hundred million, four hundred four thousand, seven hundred sixty-eight".