18930200283225 has 243 divisors, whose sum is σ = 43364873885151. Its totient is φ = 7865007796800.

The previous prime is 18930200283223. The next prime is 18930200283251. The reversal of 18930200283225 is 52238200203981.

The square root of 18930200283225 is 4350885.

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

18930200283225 is a `hidden beast` number, since 18 + 9 + 302 + 0 + 0 + 2 + 8 + 322 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6814872101961 + 12115328181264 = 2610531^2 + 3480708^2 .

It is not a de Polignac number, because 18930200283225 - 2¹ = 18930200283223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18930200283223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5025270292 + ... + 5025274058.

Almost surely, 2^{18930200283225} is an apocalyptic number.

18930200283225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18930200283225 is the 4350885-th square number.

18930200283225 is the 2175443-rd centered octagonal number.

It is an amenable number.

18930200283225 is an abundant number, since it is smaller than the sum of its proper divisors (24434673601926).

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

18930200283225 is an equidigital number, since it uses as much as digits as its factorization.

18930200283225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18930200283225 in words is "eighteen trillion, nine hundred thirty billion, two hundred million, two hundred eighty-three thousand, two hundred twenty-five".