12894160608 has 480 divisors, whose sum is σ = 46162448640. Its totient is φ = 3448811520.

The previous prime is 12894160577. The next prime is 12894160619. The reversal of 12894160608 is 80606149821.

12894160608 is a `hidden beast` number, since 1 + 28 + 9 + 4 + 16 + 0 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38955003 + ... + 38955333.

It is an arithmetic number, because the mean of its divisors is an integer number (96171768).

Almost surely, 2^12894160608 is an apocalyptic number.

12894160608 is a gapful number since it is divisible by the number (18) 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 12894160608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23081224320).

12894160608 is an abundant number, since it is smaller than the sum of its proper divisors (33268288032).

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

12894160608 is a wasteful number, since it uses less digits than its factorization.

12894160608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12894160608 in words is "twelve billion, eight hundred ninety-four million, one hundred sixty thousand, six hundred eight".