188116992000 has 1152 divisors, whose sum is σ = 804872558880. Its totient is φ = 42998169600.

The previous prime is 188116991941. The next prime is 188116992031. The reversal of 188116992000 is 299611881.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 6! ⋅ (3!)² ⋅ 2!.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26873855997 + ... + 26873856003.

Almost surely, 2^188116992000 is an apocalyptic number.

188116992000 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 188116992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402436279440).

188116992000 is an abundant number, since it is smaller than the sum of its proper divisors (616755566880).

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

188116992000 is an frugal number, since it uses more digits than its factorization.

188116992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 188116992000 in words is "one hundred eighty-eight billion, one hundred sixteen million, nine hundred ninety-two thousand".