18622634006025 has 243 divisors, whose sum is σ = 39409755083829. Its totient is φ = 8381670877440.

The previous prime is 18622634006023. The next prime is 18622634006047. The reversal of 18622634006025 is 52060043622681.

The square root of 18622634006025 is 4315395.

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

18622634006025 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 2 + 6 + 34 + 0 + 0 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101902046841 + 18520731959184 = 319221^2 + 4303572^2 .

It is not a de Polignac number, because 18622634006025 - 2¹ = 18622634006023 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (18622634006023) 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, 33077502394 + ... + 33077502956.

Almost surely, 2^{18622634006025} is an apocalyptic number.

18622634006025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18622634006025 is the 4315395-th square number.

18622634006025 is the 2157698-th centered octagonal number.

It is an amenable number.

18622634006025 is an abundant number, since it is smaller than the sum of its proper divisors (20787121077804).

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

18622634006025 is an frugal number, since it uses more digits than its factorization.

18622634006025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 18622634006025 in words is "eighteen trillion, six hundred twenty-two billion, six hundred thirty-four million, six thousand, twenty-five".