12913162456320 has 1944 divisors, whose sum is σ = 56907755652384. Its totient is φ = 2795042267136.

The previous prime is 12913162456303. The next prime is 12913162456393. The reversal of 12913162456320 is 2365426131921.

12913162456320 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 3 + 1 + 6 + 2 + 4 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5501985387 + ... + 5501987733.

Almost surely, 2^{12913162456320} is an apocalyptic number.

12913162456320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12913162456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28453877826192).

12913162456320 is an abundant number, since it is smaller than the sum of its proper divisors (43994593196064).

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

12913162456320 is an equidigital number, since it uses as much as digits as its factorization.

12913162456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12913162456320 in words is "twelve trillion, nine hundred thirteen billion, one hundred sixty-two million, four hundred fifty-six thousand, three hundred twenty".