45277624188225 has 243 divisors, whose sum is σ = 96555113546619. Its totient is φ = 20257651814400.

The previous prime is 45277624188103. The next prime is 45277624188233. The reversal of 45277624188225 is 52288142677254.

The square root of 45277624188225 is 6728865.

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

45277624188225 is a `hidden beast` number, since 4 + 5 + 27 + 76 + 241 + 88 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 13111575822081 + 32166048366144 = 3620991^2 + 5671512^2 .

It is not a de Polignac number, because 45277624188225 - 2²³ = 45277615799617 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, 14433413857 + ... + 14433416993.

Almost surely, 2^{45277624188225} is an apocalyptic number.

45277624188225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45277624188225 is the 6728865-th square number.

45277624188225 is the 3364433-rd centered octagonal number.

It is an amenable number.

45277624188225 is an abundant number, since it is smaller than the sum of its proper divisors (51277489358394).

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

45277624188225 is a wasteful number, since it uses less digits than its factorization.

45277624188225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 3169 counting only the distinct ones).

The product of its digits is 120422400, while the sum is 63.

The spelling of 45277624188225 in words is "forty-five trillion, two hundred seventy-seven billion, six hundred twenty-four million, one hundred eighty-eight thousand, two hundred twenty-five".