47954430225 has 81 divisors (see below), whose sum is σ = 93089896497. Its totient is φ = 23587312320.

The previous prime is 47954430217. The next prime is 47954430233. The reversal of 47954430225 is 52203445974.

The square root of 47954430225 is 218985.

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

47954430225 is a `hidden beast` number, since 4 + 79 + 544 + 30 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (47954430217) and next prime (47954430233).

It can be written as a sum of positive squares in 4 ways, for example, as 12360325329 + 35594104896 = 111177^2 + 188664^2 .

It is not a de Polignac number, because 47954430225 - 2³ = 47954430217 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42701514 + ... + 42702636.

Almost surely, 2^47954430225 is an apocalyptic number.

47954430225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47954430225 is the 218985-th square number.

47954430225 is the 109493-rd centered octagonal number.

It is an amenable number.

47954430225 is a deficient number, since it is larger than the sum of its proper divisors (45135466272).

47954430225 is a wasteful number, since it uses less digits than its factorization.

47954430225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 47954430225 in words is "forty-seven billion, nine hundred fifty-four million, four hundred thirty thousand, two hundred twenty-five".