564501146121 has 48 divisors (see below), whose sum is σ = 943027757568. Its totient is φ = 322137388800.

The previous prime is 564501146081. The next prime is 564501146161. The reversal of 564501146121 is 121641105465.

564501146121 is a `hidden beast` number, since 5 + 6 + 4 + 501 + 146 + 1 + 2 + 1 = 666.

564501146121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564501146081) and next prime (564501146161).

It is not a de Polignac number, because 564501146121 - 2¹³ = 564501137929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564501146161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372076 + ... + 2599181.

It is an arithmetic number, because the mean of its divisors is an integer number (19646411616).

Almost surely, 2^564501146121 is an apocalyptic number.

It is an amenable number.

564501146121 is a deficient number, since it is larger than the sum of its proper divisors (378526611447).

564501146121 is a wasteful number, since it uses less digits than its factorization.

564501146121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971342 (or 4971339 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 564501146121 in words is "five hundred sixty-four billion, five hundred one million, one hundred forty-six thousand, one hundred twenty-one".