47232149679225 has 729 divisors, whose sum is σ = 106494822873621. Its totient is φ = 19951331097600.

The previous prime is 47232149679223. The next prime is 47232149679329. The reversal of 47232149679225 is 52297694123274.

It is a happy number.

The square root of 47232149679225 is 6872565.

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

47232149679225 is a `hidden beast` number, since 4 + 7 + 2 + 32 + 1 + 496 + 7 + 92 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 43956541980729 + 3275607698496 = 6629973^2 + 1809864^2 .

It is not a de Polignac number, because 47232149679225 - 2¹ = 47232149679223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (47232149679223) by changing a digit.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 774297535695 + ... + 774297535755.

Almost surely, 2^{47232149679225} is an apocalyptic number.

47232149679225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47232149679225 is the 6872565-th square number.

47232149679225 is the 3436283-rd centered octagonal number.

It is an amenable number.

47232149679225 is an abundant number, since it is smaller than the sum of its proper divisors (59262673194396).

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

47232149679225 is a wasteful number, since it uses less digits than its factorization.

47232149679225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 47232149679225 in words is "forty-seven trillion, two hundred thirty-two billion, one hundred forty-nine million, six hundred seventy-nine thousand, two hundred twenty-five".