10193052334336 has 81 divisors (see below), whose sum is σ = 20914928050611. Its totient is φ = 4957862731776.

The previous prime is 10193052334319. The next prime is 10193052334349. The reversal of 10193052334336 is 63343325039101.

The square root of 10193052334336 is 3192656.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7420960532736 + 2772091801600 = 2724144^2 + 1664960^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10193052334292 and 10193052334301.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1890049656 + ... + 1890055048.

Almost surely, 2^{10193052334336} is an apocalyptic number.

10193052334336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10193052334336 is the 3192656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10193052334336

10193052334336 is an abundant number, since it is smaller than the sum of its proper divisors (10721875716275).

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

10193052334336 is an frugal number, since it uses more digits than its factorization.

10193052334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 43.

The spelling of 10193052334336 in words is "ten trillion, one hundred ninety-three billion, fifty-two million, three hundred thirty-four thousand, three hundred thirty-six".