47999664256041 has 27 divisors (see below), whose sum is σ = 73174605431421. Its totient is φ = 30315328010424.

The previous prime is 47999664256009. The next prime is 47999664256123. The reversal of 47999664256041 is 14065246699974.

It is a happy number.

The square root of 47999664256041 is 6928179.

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

47999664256041 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 9 + 6 + 6 + 4 + 2 + 5 + 604 + 1 = 666.

It is not a de Polignac number, because 47999664256041 - 2⁵ = 47999664256009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47999664256741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 394845430 + ... + 394966976.

Almost surely, 2^{47999664256041} is an apocalyptic number.

47999664256041 is the 6928179-th square number.

47999664256041 is the 3464090-th centered octagonal number.

It is an amenable number.

47999664256041 is a deficient number, since it is larger than the sum of its proper divisors (25174941175380).

47999664256041 is an frugal number, since it uses more digits than its factorization.

47999664256041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243138 (or 121569 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 47999664256041 in words is "forty-seven trillion, nine hundred ninety-nine billion, six hundred sixty-four million, two hundred fifty-six thousand, forty-one".