192812322816 has 117 divisors (see below), whose sum is σ = 557189015331. Its totient is φ = 64242671616.

The previous prime is 192812322779. The next prime is 192812322839. The reversal of 192812322816 is 618223218291.

The square root of 192812322816 is 439104.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84306825 + ... + 84309111.

Almost surely, 2^192812322816 is an apocalyptic number.

192812322816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

192812322816 is the 439104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192812322816

192812322816 is an abundant number, since it is smaller than the sum of its proper divisors (364376692515).

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

192812322816 is an frugal number, since it uses more digits than its factorization.

With its predecessor (192812322815) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2292).

192812322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 2292 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 192812322816 in words is "one hundred ninety-two billion, eight hundred twelve million, three hundred twenty-two thousand, eight hundred sixteen".