188742674016 has 192 divisors, whose sum is σ = 606634237440. Its totient is φ = 56723950080.

The previous prime is 188742673981. The next prime is 188742674041. The reversal of 188742674016 is 610476247881.

188742674016 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287581 + ... + 678371.

It is an arithmetic number, because the mean of its divisors is an integer number (3159553320).

Almost surely, 2^188742674016 is an apocalyptic number.

188742674016 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 188742674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303317118720).

188742674016 is an abundant number, since it is smaller than the sum of its proper divisors (417891563424).

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

188742674016 is a wasteful number, since it uses less digits than its factorization.

188742674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390866 (or 390852 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 188742674016 in words is "one hundred eighty-eight billion, seven hundred forty-two million, six hundred seventy-four thousand, sixteen".