193834224174096 has 405 divisors, whose sum is σ = 617704650083703. Its totient is φ = 56696614571520.

The previous prime is 193834224174049. The next prime is 193834224174109. The reversal of 193834224174096 is 690471422438391.

The square root of 193834224174096 is 13922436.

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

193834224174096 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 342 + 241 + 7 + 40 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61199016080400 + 132635208093696 = 7822980^2 + 11516736^2 .

It is a super-2 number, since 2×193834224174096² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53295083190 + ... + 53295086826.

Almost surely, 2^{193834224174096} is an apocalyptic number.

193834224174096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193834224174096 is the 13922436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193834224174096

193834224174096 is an abundant number, since it is smaller than the sum of its proper divisors (423870425909607).

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

193834224174096 is an equidigital number, since it uses as much as digits as its factorization.

193834224174096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 193834224174096 in words is "one hundred ninety-three trillion, eight hundred thirty-four billion, two hundred twenty-four million, one hundred seventy-four thousand, ninety-six".