188021268864 has 1152 divisors, whose sum is σ = 695273779200. Its totient is φ = 48283361280.

The previous prime is 188021268823. The next prime is 188021268881. The reversal of 188021268864 is 468862120881.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 188021268864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1480482369 + ... + 1480482495.

Almost surely, 2^188021268864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188021268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347636889600).

188021268864 is an abundant number, since it is smaller than the sum of its proper divisors (507252510336).

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

188021268864 is a wasteful number, since it uses less digits than its factorization.

188021268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 188021268864 in words is "one hundred eighty-eight billion, twenty-one million, two hundred sixty-eight thousand, eight hundred sixty-four".