12846953896416 has 72 divisors (see below), whose sum is σ = 36643898602584. Its totient is φ = 4269380417280.

The previous prime is 12846953896393. The next prime is 12846953896423. The reversal of 12846953896416 is 61469835964821.

12846953896416 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 6 + 95 + 38 + 96 + 416 = 666.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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, 67287571 + ... + 67478226.

It is an arithmetic number, because the mean of its divisors is an integer number (508943036147).

Almost surely, 2^{12846953896416} is an apocalyptic number.

12846953896416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12846953896416 is an abundant number, since it is smaller than the sum of its proper divisors (23796944706168).

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

12846953896416 is a wasteful number, since it uses less digits than its factorization.

12846953896416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134766144 (or 134766133 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 12846953896416 in words is "twelve trillion, eight hundred forty-six billion, nine hundred fifty-three million, eight hundred ninety-six thousand, four hundred sixteen".