47163723732225 has 243 divisors, whose sum is σ = 90807037572771. Its totient is φ = 24298065136800.

The previous prime is 47163723732217. The next prime is 47163723732313. The reversal of 47163723732225 is 52223732736174.

The square root of 47163723732225 is 6867585.

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

47163723732225 is a `hidden beast` number, since 4 + 7 + 1 + 63 + 7 + 237 + 322 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16978940543601 + 30184783188624 = 4120551^2 + 5494068^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 47163723732225 - 2³ = 47163723732217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 86222529402 + ... + 86222529948.

Almost surely, 2^{47163723732225} is an apocalyptic number.

47163723732225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47163723732225 is the 6867585-th square number.

47163723732225 is the 3433793-rd centered octagonal number.

It is an amenable number.

47163723732225 is a deficient number, since it is larger than the sum of its proper divisors (43643313840546).

47163723732225 is an frugal number, since it uses more digits than its factorization.

47163723732225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 586 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 47163723732225 in words is "forty-seven trillion, one hundred sixty-three billion, seven hundred twenty-three million, seven hundred thirty-two thousand, two hundred twenty-five".