49477329225 has 45 divisors (see below), whose sum is σ = 91667661943. Its totient is φ = 26382570480.

The previous prime is 49477329197. The next prime is 49477329233. The reversal of 49477329225 is 52292377494.

It is a happy number.

The square root of 49477329225 is 222435.

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

49477329225 is a `hidden beast` number, since 4 + 94 + 7 + 7 + 329 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17811838521 + 31665490704 = 133461^2 + 177948^2 .

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

It is not a de Polignac number, because 49477329225 - 2⁹ = 49477328713 is a prime.

It is a super-2 number, since 2×49477329225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10007104 + ... + 10012046.

Almost surely, 2^49477329225 is an apocalyptic number.

49477329225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49477329225 is the 222435-th square number.

49477329225 is the 111218-th centered octagonal number.

It is an amenable number.

49477329225 is a deficient number, since it is larger than the sum of its proper divisors (42190332718).

49477329225 is an frugal number, since it uses more digits than its factorization.

49477329225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 4951 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 49477329225 in words is "forty-nine billion, four hundred seventy-seven million, three hundred twenty-nine thousand, two hundred twenty-five".