188996741968320 has 1792 divisors, whose sum is σ = 794604529152000. Its totient is φ = 42205928325120.

The previous prime is 188996741968297. The next prime is 188996741968361. The reversal of 188996741968320 is 23869147699881.

188996741968320 is a `hidden beast` number, since 1 + 8 + 89 + 9 + 67 + 419 + 68 + 3 + 2 + 0 = 666.

188996741968320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 188996741968320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56943879621 + ... + 56943882939.

It is an arithmetic number, because the mean of its divisors is an integer number (443417706000).

Almost surely, 2^{188996741968320} is an apocalyptic number.

188996741968320 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 188996741968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397302264576000).

188996741968320 is an abundant number, since it is smaller than the sum of its proper divisors (605607787183680).

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

188996741968320 is a wasteful number, since it uses less digits than its factorization.

188996741968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 188996741968320 in words is "one hundred eighty-eight trillion, nine hundred ninety-six billion, seven hundred forty-one million, nine hundred sixty-eight thousand, three hundred twenty".