188730405864 has 768 divisors, whose sum is σ = 754282368000. Its totient is φ = 42861934080.

The previous prime is 188730405859. The next prime is 188730405869. The reversal of 188730405864 is 468504037881.

188730405864 is a `hidden beast` number, since 18 + 8 + 7 + 3 + 0 + 40 + 586 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (188730405859) and next prime (188730405869).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 188730405864.

It is not an unprimeable number, because it can be changed into a prime (188730405869) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28753447 + ... + 28760009.

It is an arithmetic number, because the mean of its divisors is an integer number (982138500).

Almost surely, 2^188730405864 is an apocalyptic number.

188730405864 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 188730405864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377141184000).

188730405864 is an abundant number, since it is smaller than the sum of its proper divisors (565551962136).

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

188730405864 is a wasteful number, since it uses less digits than its factorization.

188730405864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 188730405864 in words is "one hundred eighty-eight billion, seven hundred thirty million, four hundred five thousand, eight hundred sixty-four".