564441137352 has 48 divisors (see below), whose sum is σ = 1533912192540. Its totient is φ = 187504898688.

The previous prime is 564441137303. The next prime is 564441137357. The reversal of 564441137352 is 253731144465.

564441137352 is a `hidden beast` number, since 564 + 4 + 4 + 1 + 1 + 37 + 3 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 564130179396 + 310957956 = 751086^2 + 17634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 564441137298 and 564441137307.

It is not an unprimeable number, because it can be changed into a prime (564441137357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13356823 + ... + 13399014.

Almost surely, 2^564441137352 is an apocalyptic number.

It is an amenable number.

564441137352 is an abundant number, since it is smaller than the sum of its proper divisors (969471055188).

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

564441137352 is a wasteful number, since it uses less digits than its factorization.

564441137352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26756142 (or 26756135 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 564441137352 in words is "five hundred sixty-four billion, four hundred forty-one million, one hundred thirty-seven thousand, three hundred fifty-two".