188644135680 has 3456 divisors, whose sum is σ = 986496537600. Its totient is φ = 33443020800.

The previous prime is 188644135657. The next prime is 188644135703. The reversal of 188644135680 is 86531446881.

188644135680 is a `hidden beast` number, since 1 + 8 + 8 + 64 + 4 + 13 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (188644135657) and next prime (188644135703).

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4601076460 + ... + 4601076500.

It is an arithmetic number, because the mean of its divisors is an integer number (285444600).

Almost surely, 2^188644135680 is an apocalyptic number.

188644135680 is a gapful number since it is divisible by the number (10) 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 188644135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493248268800).

188644135680 is an abundant number, since it is smaller than the sum of its proper divisors (797852401920).

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

188644135680 is a wasteful number, since it uses less digits than its factorization.

188644135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 188644135680 in words is "one hundred eighty-eight billion, six hundred forty-four million, one hundred thirty-five thousand, six hundred eighty".