12964162752 has 196 divisors, whose sum is σ = 38928156840. Its totient is φ = 4281403392.

The previous prime is 12964162721. The next prime is 12964162763. The reversal of 12964162752 is 25726146921.

12964162752 is a `hidden beast` number, since 12 + 9 + 6 + 4 + 1 + 627 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12964162698 and 12964162707.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5270899 + ... + 5273357.

Almost surely, 2^12964162752 is an apocalyptic number.

12964162752 is a gapful number since it is divisible by the number (12) 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 12964162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19464078420).

12964162752 is an abundant number, since it is smaller than the sum of its proper divisors (25963994088).

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

12964162752 is an equidigital number, since it uses as much as digits as its factorization.

12964162752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2577 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 12964162752 in words is "twelve billion, nine hundred sixty-four million, one hundred sixty-two thousand, seven hundred fifty-two".