12894418944 has 768 divisors, whose sum is σ = 46702656000. Its totient is φ = 3468165120.

The previous prime is 12894418939. The next prime is 12894418963. The reversal of 12894418944 is 44981449821.

12894418944 is a `hidden beast` number, since 1 + 2 + 89 + 441 + 89 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299870187 + ... + 299870229.

It is an arithmetic number, because the mean of its divisors is an integer number (60810750).

Almost surely, 2^12894418944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12894418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328000).

12894418944 is an abundant number, since it is smaller than the sum of its proper divisors (33808237056).

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

12894418944 is a wasteful number, since it uses less digits than its factorization.

12894418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 12894418944 in words is "twelve billion, eight hundred ninety-four million, four hundred eighteen thousand, nine hundred forty-four".