190996312320 has 648 divisors, whose sum is σ = 736706414808. Its totient is φ = 45643530240.

The previous prime is 190996312319. The next prime is 190996312337. The reversal of 190996312320 is 23213699091.

190996312320 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 9 + 6 + 312 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31661220096 + 159335092224 = 177936^2 + 399168^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101755222 + ... + 101757098.

Almost surely, 2^190996312320 is an apocalyptic number.

190996312320 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 190996312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368353207404).

190996312320 is an abundant number, since it is smaller than the sum of its proper divisors (545710102488).

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

190996312320 is a wasteful number, since it uses less digits than its factorization.

190996312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 190996312320 in words is "one hundred ninety billion, nine hundred ninety-six million, three hundred twelve thousand, three hundred twenty".