188542867968 has 1260 divisors, whose sum is σ = 723125090358. Its totient is φ = 48910417920.

The previous prime is 188542867939. The next prime is 188542867973. The reversal of 188542867968 is 869768245881.

188542867968 is a `hidden beast` number, since 1 + 8 + 8 + 542 + 8 + 6 + 79 + 6 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 41050001664 + 147492866304 = 202608^2 + 384048^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 188542867896 and 188542867905.

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 125 ways as a sum of consecutive naturals, for example, 3090866658 + ... + 3090866718.

Almost surely, 2^188542867968 is an apocalyptic number.

188542867968 is a gapful number since it is divisible by the number (18) 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 188542867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361562545179).

188542867968 is an abundant number, since it is smaller than the sum of its proper divisors (534582222390).

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

188542867968 is an frugal number, since it uses more digits than its factorization.

188542867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 86 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 188542867968 in words is "one hundred eighty-eight billion, five hundred forty-two million, eight hundred sixty-seven thousand, nine hundred sixty-eight".