188513432640 has 336 divisors, whose sum is σ = 699591438000. Its totient is φ = 46316519424.

The previous prime is 188513432593. The next prime is 188513432651. The reversal of 188513432640 is 46234315881.

It can be written as a sum of positive squares in 8 ways, for example, as 100788470784 + 87724961856 = 317472^2 + 296184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21298936 + ... + 21307784.

It is an arithmetic number, because the mean of its divisors is an integer number (2082117375).

Almost surely, 2^188513432640 is an apocalyptic number.

188513432640 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 188513432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349795719000).

188513432640 is an abundant number, since it is smaller than the sum of its proper divisors (511078005360).

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

188513432640 is a wasteful number, since it uses less digits than its factorization.

188513432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9454 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 188513432640 in words is "one hundred eighty-eight billion, five hundred thirteen million, four hundred thirty-two thousand, six hundred forty".