49544082225 has 243 divisors, whose sum is σ = 104413692747. Its totient is φ = 22436568000.

The previous prime is 49544082193. The next prime is 49544082233. The reversal of 49544082225 is 52228044594.

The square root of 49544082225 is 222585.

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

49544082225 is a `hidden beast` number, since 4 + 9 + 544 + 0 + 82 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17835869601 + 31708212624 = 133551^2 + 178068^2 .

It is not a de Polignac number, because 49544082225 - 2⁵ = 49544082193 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 697803940 + ... + 697804010.

Almost surely, 2^49544082225 is an apocalyptic number.

49544082225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49544082225 is the 222585-th square number.

49544082225 is the 111293-rd centered octagonal number.

It is an amenable number.

49544082225 is an abundant number, since it is smaller than the sum of its proper divisors (54869610522).

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

49544082225 is a wasteful number, since it uses less digits than its factorization.

49544082225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 49544082225 in words is "forty-nine billion, five hundred forty-four million, eighty-two thousand, two hundred twenty-five".