12745628290404 has 189 divisors, whose sum is σ = 35534004304827. Its totient is φ = 3997600293888.

The previous prime is 12745628290321. The next prime is 12745628290441. The reversal of 12745628290404 is 40409282654721.

The square root of 12745628290404 is 3570102.

It is a perfect power (a square), and thus also a powerful number.

12745628290404 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 5 + 628 + 2 + 9 + 0 + 4 + 0 + 4 = 666.

12745628290404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3242268396900 + 9503359893504 = 1800630^2 + 3082752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3277351692 + ... + 3277355580.

Almost surely, 2^{12745628290404} is an apocalyptic number.

12745628290404 is the 3570102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12745628290404

12745628290404 is an abundant number, since it is smaller than the sum of its proper divisors (22788376014423).

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

12745628290404 is an frugal number, since it uses more digits than its factorization.

12745628290404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12745628290404 in words is "twelve trillion, seven hundred forty-five billion, six hundred twenty-eight million, two hundred ninety thousand, four hundred four".