193568321296 has 135 divisors (see below), whose sum is σ = 460996900839. Its totient is φ = 78496617024.

The previous prime is 193568321273. The next prime is 193568321321. The reversal of 193568321296 is 692123865391.

The square root of 193568321296 is 439964.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234060435 + ... + 234061261.

Almost surely, 2^193568321296 is an apocalyptic number.

193568321296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193568321296 is the 439964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193568321296

193568321296 is an abundant number, since it is smaller than the sum of its proper divisors (267428579543).

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

193568321296 is an frugal number, since it uses more digits than its factorization.

193568321296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 855 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The spelling of 193568321296 in words is "one hundred ninety-three billion, five hundred sixty-eight million, three hundred twenty-one thousand, two hundred ninety-six".