564381183465 has 128 divisors (see below), whose sum is σ = 1160784483840. Its totient is φ = 257133772800.

The previous prime is 564381183461. The next prime is 564381183467.

It is a happy number.

564381183465 is a `hidden beast` number, since 5 + 6 + 438 + 118 + 34 + 65 = 666.

564381183465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564381183465 - 2² = 564381183461 is a prime.

It is a super-2 number, since 2×564381183465² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564381183461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16164607 + ... + 16199483.

It is an arithmetic number, because the mean of its divisors is an integer number (9068628780).

Almost surely, 2^564381183465 is an apocalyptic number.

564381183465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564381183465 is an abundant number, since it is smaller than the sum of its proper divisors (596403300375).

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

564381183465 is a wasteful number, since it uses less digits than its factorization.

564381183465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35560 (or 35554 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 564381183465 in words is "five hundred sixty-four billion, three hundred eighty-one million, one hundred eighty-three thousand, four hundred sixty-five".