188965820083152 has 160 divisors (see below), whose sum is σ = 586598251380480. Its totient is φ = 51273936322560.

The previous prime is 188965820083151. The next prime is 188965820083199. The reversal of 188965820083152 is 251380028569881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188965820083151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158364993 + ... + 159553760.

It is an arithmetic number, because the mean of its divisors is an integer number (3666239071128).

Almost surely, 2^{188965820083152} is an apocalyptic number.

188965820083152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

188965820083152 is an abundant number, since it is smaller than the sum of its proper divisors (397632431297328).

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

188965820083152 is a wasteful number, since it uses less digits than its factorization.

188965820083152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317918861 (or 317918855 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 66.

The spelling of 188965820083152 in words is "one hundred eighty-eight trillion, nine hundred sixty-five billion, eight hundred twenty million, eighty-three thousand, one hundred fifty-two".