49757994225 has 45 divisors (see below), whose sum is σ = 92187603057. Its totient is φ = 26532243360.

The previous prime is 49757994217. The next prime is 49757994239. The reversal of 49757994225 is 52249975794.

The square root of 49757994225 is 223065.

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

49757994225 is a `hidden beast` number, since 497 + 57 + 9 + 94 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2884012209 + 46873982016 = 53703^2 + 216504^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 49757994225 - 2³ = 49757994217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10035447 + ... + 10040403.

Almost surely, 2^49757994225 is an apocalyptic number.

49757994225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49757994225 is the 223065-th square number.

49757994225 is the 111533-rd centered octagonal number.

It is an amenable number.

49757994225 is a deficient number, since it is larger than the sum of its proper divisors (42429608832).

49757994225 is an frugal number, since it uses more digits than its factorization.

49757994225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 4965 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 49757994225 in words is "forty-nine billion, seven hundred fifty-seven million, nine hundred ninety-four thousand, two hundred twenty-five".