564946965352 has 256 divisors, whose sum is σ = 1426902220800. Its totient is φ = 203085792000.

The previous prime is 564946965329. The next prime is 564946965383. The reversal of 564946965352 is 253569649465.

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, 68967577 + ... + 68975767.

It is an arithmetic number, because the mean of its divisors is an integer number (5573836800).

Almost surely, 2^564946965352 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 564946965352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713451110400).

564946965352 is an abundant number, since it is smaller than the sum of its proper divisors (861955255448).

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

564946965352 is a wasteful number, since it uses less digits than its factorization.

564946965352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8384 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 64.

The spelling of 564946965352 in words is "five hundred sixty-four billion, nine hundred forty-six million, nine hundred sixty-five thousand, three hundred fifty-two".