18264000564 has 36 divisors (see below), whose sum is σ = 46176514020. Its totient is φ = 6086789760.

The previous prime is 18264000551. The next prime is 18264000583. The reversal of 18264000564 is 46500046281.

18264000564 is a `hidden beast` number, since 1 + 8 + 2 + 640 + 0 + 0 + 5 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2474067600 + 15789932964 = 49740^2 + 125658^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143344 + ... + 238904.

It is an arithmetic number, because the mean of its divisors is an integer number (1282680945).

Almost surely, 2^18264000564 is an apocalyptic number.

It is an amenable number.

18264000564 is an abundant number, since it is smaller than the sum of its proper divisors (27912513456).

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

18264000564 is a wasteful number, since it uses less digits than its factorization.

18264000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100880 (or 100875 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18264000564 in words is "eighteen billion, two hundred sixty-four million, five hundred sixty-four", and thus it is an aban number.