564656062096 has 135 divisors (see below), whose sum is σ = 1302571510947. Its totient is φ = 236431823040.

The previous prime is 564656062081. The next prime is 564656062099. The reversal of 564656062096 is 690260656465.

It is a happy number.

The square root of 564656062096 is 751436.

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

564656062096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (564656062099) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 988889491 + ... + 988890061.

Almost surely, 2^564656062096 is an apocalyptic number.

564656062096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

564656062096 is the 751436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564656062096

564656062096 is an abundant number, since it is smaller than the sum of its proper divisors (737915448851).

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

564656062096 is an frugal number, since it uses more digits than its factorization.

564656062096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 55.

The spelling of 564656062096 in words is "five hundred sixty-four billion, six hundred fifty-six million, sixty-two thousand, ninety-six".