12366430626564 has 360 divisors, whose sum is σ = 39151984437720. Its totient is φ = 3390667693056.

The previous prime is 12366430626553. The next prime is 12366430626631. The reversal of 12366430626564 is 46562603466321.

12366430626564 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 6 + 4 + 3 + 0 + 626 + 5 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2270928441600 + 10095502184964 = 1506960^2 + 3177342^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12366430626564.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42736882 + ... + 43025270.

It is an arithmetic number, because the mean of its divisors is an integer number (108755512327).

Almost surely, 2^{12366430626564} is an apocalyptic number.

12366430626564 is a gapful number since it is divisible by the number (14) 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 12366430626564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575992218860).

12366430626564 is an abundant number, since it is smaller than the sum of its proper divisors (26785553811156).

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

12366430626564 is a wasteful number, since it uses less digits than its factorization.

12366430626564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288529 (or 288511 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 12366430626564 in words is "twelve trillion, three hundred sixty-six billion, four hundred thirty million, six hundred twenty-six thousand, five hundred sixty-four".