12569563348164 has 135 divisors (see below), whose sum is σ = 33247052450157. Its totient is φ = 4004098962336.

The previous prime is 12569563348081. The next prime is 12569563348183. The reversal of 12569563348164 is 46184336596521.

The square root of 12569563348164 is 3545358.

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

12569563348164 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 9 + 563 + 3 + 4 + 8 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 556351892100 + 12013211456064 = 745890^2 + 3466008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11252965734 + ... + 11252966850.

Almost surely, 2^{12569563348164} is an apocalyptic number.

12569563348164 is the 3545358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12569563348164

12569563348164 is an abundant number, since it is smaller than the sum of its proper divisors (20677489101993).

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

12569563348164 is an frugal number, since it uses more digits than its factorization.

12569563348164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 1145 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 12569563348164 in words is "twelve trillion, five hundred sixty-nine billion, five hundred sixty-three million, three hundred forty-eight thousand, one hundred sixty-four".