19368933030225 has 81 divisors (see below), whose sum is σ = 34906171836627. Its totient is φ = 10266687792000.

The previous prime is 19368933030203. The next prime is 19368933030263. The reversal of 19368933030225 is 52203033986391.

The square root of 19368933030225 is 4401015.

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

19368933030225 is a `hidden beast` number, since 1 + 9 + 3 + 6 + 89 + 330 + 3 + 0 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18214193660481 + 1154739369744 = 4267809^2 + 1074588^2 .

It is not a de Polignac number, because 19368933030225 - 2¹⁵ = 19368932997457 is a prime.

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, 11948754915 + ... + 11948756535.

Almost surely, 2^{19368933030225} is an apocalyptic number.

19368933030225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19368933030225 is the 4401015-th square number.

19368933030225 is the 2200508-th centered octagonal number.

It is an amenable number.

19368933030225 is a deficient number, since it is larger than the sum of its proper divisors (15537238806402).

19368933030225 is an frugal number, since it uses more digits than its factorization.

19368933030225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 19368933030225 in words is "nineteen trillion, three hundred sixty-eight billion, nine hundred thirty-three million, thirty thousand, two hundred twenty-five".