49290660225 has 135 divisors (see below), whose sum is σ = 95518094009. Its totient is φ = 24297321600.

The previous prime is 49290660191. The next prime is 49290660233. The reversal of 49290660225 is 52206609294.

The square root of 49290660225 is 222015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20747233521 + 28543426704 = 144039^2 + 168948^2 .

It is not a de Polignac number, because 49290660225 - 2⁹ = 49290659713 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1202211205 + ... + 1202211245.

Almost surely, 2^49290660225 is an apocalyptic number.

49290660225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49290660225 is the 222015-th square number.

49290660225 is the 111008-th centered octagonal number.

It is an amenable number.

49290660225 is a deficient number, since it is larger than the sum of its proper divisors (46227433784).

49290660225 is an frugal number, since it uses more digits than its factorization.

49290660225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 49290660225 in words is "forty-nine billion, two hundred ninety million, six hundred sixty thousand, two hundred twenty-five".