12169662456096 has 72 divisors (see below), whose sum is σ = 34612847562384. Its totient is φ = 4055924707200.

The previous prime is 12169662456059. The next prime is 12169662456097. The reversal of 12169662456096 is 69065426696121.

12169662456096 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 9 + 6 + 62 + 4 + 560 + 9 + 6 = 666.

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

It is a super-2 number, since 2×12169662456096² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (12169662456097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417246 + ... + 5133021.

It is an arithmetic number, because the mean of its divisors is an integer number (480733993922).

Almost surely, 2^{12169662456096} is an apocalyptic number.

12169662456096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12169662456096 is an abundant number, since it is smaller than the sum of its proper divisors (22443185106288).

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

12169662456096 is a wasteful number, since it uses less digits than its factorization.

12169662456096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556734 (or 6556723 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 12169662456096 in words is "twelve trillion, one hundred sixty-nine billion, six hundred sixty-two million, four hundred fifty-six thousand, ninety-six".