18852285564 has 288 divisors, whose sum is σ = 59628441600. Its totient is φ = 4900746240.

The previous prime is 18852285499. The next prime is 18852285589. The reversal of 18852285564 is 46558225881.

18852285564 is a `hidden beast` number, since 1 + 8 + 8 + 52 + 28 + 5 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18852285564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23302792 + ... + 23303600.

It is an arithmetic number, because the mean of its divisors is an integer number (207043200).

Almost surely, 2^18852285564 is an apocalyptic number.

18852285564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18852285564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29814220800).

18852285564 is an abundant number, since it is smaller than the sum of its proper divisors (40776156036).

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

18852285564 is a wasteful number, since it uses less digits than its factorization.

18852285564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 54.

The spelling of 18852285564 in words is "eighteen billion, eight hundred fifty-two million, two hundred eighty-five thousand, five hundred sixty-four".