193368492490000 has 225 divisors, whose sum is σ = 470931278432571. Its totient is φ = 76892958720000.

The previous prime is 193368492489979. The next prime is 193368492490081. The reversal of 193368492490000 is 94294863391.

The square root of 193368492490000 is 13905700.

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

It can be written as a sum of positive squares in 22 ways, for example, as 116439033838864 + 76929458651136 = 10790692^2 + 8770944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 335127369712 + ... + 335127370288.

Almost surely, 2^{193368492490000} is an apocalyptic number.

193368492490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

193368492490000 is the 13905700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193368492490000

193368492490000 is an abundant number, since it is smaller than the sum of its proper divisors (277562785942571).

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

193368492490000 is an frugal number, since it uses more digits than its factorization.

193368492490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 193368492490000 in words is "one hundred ninety-three trillion, three hundred sixty-eight billion, four hundred ninety-two million, four hundred ninety thousand".