47574968246521 has 27 divisors (see below), whose sum is σ = 50697178652943. Its totient is φ = 44635953216960.

The previous prime is 47574968246501. The next prime is 47574968246569. The reversal of 47574968246521 is 12564286947574.

The square root of 47574968246521 is 6897461.

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

It can be written as a sum of positive squares in only one way, i.e., 37039335140025 + 10535633106496 = 6085995^2 + 3245864^2 .

It is not a de Polignac number, because 47574968246521 - 2²⁷ = 47574834028793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47574968246501) 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, 73989063826 + ... + 73989064468.

Almost surely, 2^{47574968246521} is an apocalyptic number.

47574968246521 is the 6897461-st square number.

47574968246521 is the 3448731-st centered octagonal number.

It is an amenable number.

47574968246521 is a deficient number, since it is larger than the sum of its proper divisors (3122210406422).

47574968246521 is an frugal number, since it uses more digits than its factorization.

47574968246521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 1291 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 70.

The spelling of 47574968246521 in words is "forty-seven trillion, five hundred seventy-four billion, nine hundred sixty-eight million, two hundred forty-six thousand, five hundred twenty-one".