12928994194464 has 768 divisors, whose sum is σ = 43658818560000. Its totient is φ = 3699348516864.

The previous prime is 12928994194423. The next prime is 12928994194469. The reversal of 12928994194464 is 46449149982921.

12928994194464 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 89 + 94 + 19 + 446 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 12928994194392 and 12928994194401.

It is not an unprimeable number, because it can be changed into a prime (12928994194469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 580310877 + ... + 580333155.

It is an arithmetic number, because the mean of its divisors is an integer number (56847420000).

Almost surely, 2^{12928994194464} 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 12928994194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829409280000).

12928994194464 is an abundant number, since it is smaller than the sum of its proper divisors (30729824365536).

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

12928994194464 is a wasteful number, since it uses less digits than its factorization.

12928994194464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22422 (or 22408 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 12928994194464 in words is "twelve trillion, nine hundred twenty-eight billion, nine hundred ninety-four million, one hundred ninety-four thousand, four hundred sixty-four".