47370857257201 has 9 divisors (see below), whose sum is σ = 47410458674553. Its totient is φ = 47331288908100.

The previous prime is 47370857257153. The next prime is 47370857257223. The reversal of 47370857257201 is 10275275807374.

The square root of 47370857257201 is 6882649.

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

47370857257201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47370857257201 - 2²³ = 47370848868593 is a prime.

It is a super-2 number, since 2×47370857257201² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47370857257231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11693618626 + ... + 11693622676.

It is an arithmetic number, because the mean of its divisors is an integer number (5267828741617).

Almost surely, 2^{47370857257201} is an apocalyptic number.

47370857257201 is the 6882649-th square number.

47370857257201 is the 3441325-th centered octagonal number.

It is an amenable number.

47370857257201 is a deficient number, since it is larger than the sum of its proper divisors (39601417352).

47370857257201 is an frugal number, since it uses more digits than its factorization.

47370857257201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 23049600, while the sum is 58.

The spelling of 47370857257201 in words is "forty-seven trillion, three hundred seventy billion, eight hundred fifty-seven million, two hundred fifty-seven thousand, two hundred one".