18792297225 has 243 divisors, whose sum is σ = 39534405183. Its totient is φ = 8527783680.

The previous prime is 18792297211. The next prime is 18792297257. The reversal of 18792297225 is 52279229781.

The square root of 18792297225 is 137085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10844931321 + 7947365904 = 104139^2 + 89148^2 .

It is a de Polignac number, because none of the positive numbers 2^k-18792297225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 507899907 + ... + 507899943.

Almost surely, 2^18792297225 is an apocalyptic number.

18792297225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18792297225 is the 137085-th square number.

18792297225 is the 68543-rd centered octagonal number.

It is an amenable number.

18792297225 is an abundant number, since it is smaller than the sum of its proper divisors (20742107958).

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

18792297225 is a wasteful number, since it uses less digits than its factorization.

18792297225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 18792297225 in words is "eighteen billion, seven hundred ninety-two million, two hundred ninety-seven thousand, two hundred twenty-five".