188800960126464 has 960 divisors, whose sum is σ = 649488978378240. Its totient is φ = 53635916759040.

The previous prime is 188800960126421. The next prime is 188800960126483. The reversal of 188800960126464 is 464621069008881.

188800960126464 is a `hidden beast` number, since 1 + 8 + 8 + 80 + 0 + 96 + 0 + 1 + 2 + 6 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142922754924 + ... + 142922756244.

It is an arithmetic number, because the mean of its divisors is an integer number (676551019144).

Almost surely, 2^{188800960126464} is an apocalyptic number.

188800960126464 is a gapful number since it is divisible by the number (14) 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 188800960126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324744489189120).

188800960126464 is an abundant number, since it is smaller than the sum of its proper divisors (460688018251776).

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

188800960126464 is an equidigital number, since it uses as much as digits as its factorization.

188800960126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 188800960126464 in words is "one hundred eighty-eight trillion, eight hundred billion, nine hundred sixty million, one hundred twenty-six thousand, four hundred sixty-four".