190756883328 has 384 divisors, whose sum is σ = 587145162240. Its totient is φ = 54723440640.

The previous prime is 190756883323. The next prime is 190756883353. The reversal of 190756883328 is 823388657091.

190756883328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190756883321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 110072350 + ... + 110074082.

It is an arithmetic number, because the mean of its divisors is an integer number (1529023860).

Almost surely, 2^190756883328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190756883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293572581120).

190756883328 is an abundant number, since it is smaller than the sum of its proper divisors (396388278912).

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

190756883328 is a wasteful number, since it uses less digits than its factorization.

190756883328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 190756883328 in words is "one hundred ninety billion, seven hundred fifty-six million, eight hundred eighty-three thousand, three hundred twenty-eight".