188961290496 has 216 divisors, whose sum is σ = 597384051264. Its totient is φ = 56968826880.

The previous prime is 188961290491. The next prime is 188961290503. The reversal of 188961290496 is 694092169881.

188961290496 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 612 + 9 + 0 + 4 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (188961290491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4973845 + ... + 5011691.

It is an arithmetic number, because the mean of its divisors is an integer number (2765666904).

Almost surely, 2^188961290496 is an apocalyptic number.

188961290496 is a gapful number since it is divisible by the number (16) 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 188961290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298692025632).

188961290496 is an abundant number, since it is smaller than the sum of its proper divisors (408422760768).

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

188961290496 is a wasteful number, since it uses less digits than its factorization.

188961290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38077 (or 38060 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 188961290496 in words is "one hundred eighty-eight billion, nine hundred sixty-one million, two hundred ninety thousand, four hundred ninety-six".