12696509199456 has 72 divisors (see below), whose sum is σ = 36164027619720. Its totient is φ = 4225332566016.

The previous prime is 12696509199431. The next prime is 12696509199469. The reversal of 12696509199456 is 65499190569621.

12696509199456 is a `hidden beast` number, since 1 + 2 + 69 + 6 + 509 + 1 + 9 + 9 + 4 + 56 = 666.

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

It is a super-2 number, since 2×12696509199456² (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 congruent number.

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, 35431665 + ... + 35788208.

It is an arithmetic number, because the mean of its divisors is an integer number (502278161385).

Almost surely, 2^{12696509199456} is an apocalyptic number.

12696509199456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12696509199456 is an abundant number, since it is smaller than the sum of its proper divisors (23467518420264).

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

12696509199456 is a wasteful number, since it uses less digits than its factorization.

12696509199456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71220508 (or 71220497 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 12696509199456 in words is "twelve trillion, six hundred ninety-six billion, five hundred nine million, one hundred ninety-nine thousand, four hundred fifty-six".