47127633921 has 15 divisors (see below), whose sum is σ = 70403458323. Its totient is φ = 31417120080.

The previous prime is 47127633911. The next prime is 47127633947. The reversal of 47127633921 is 12933672174.

The square root of 47127633921 is 217089.

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

47127633921 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 7 + 633 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13418673921 + 33708960000 = 115839^2 + 183600^2 .

It is not a de Polignac number, because 47127633921 - 2¹³ = 47127625729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47127633911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1941741 + ... + 1965861.

Almost surely, 2^47127633921 is an apocalyptic number.

47127633921 is the 217089-th square number.

47127633921 is the 108545-th centered octagonal number.

It is an amenable number.

47127633921 is a deficient number, since it is larger than the sum of its proper divisors (23275824402).

47127633921 is an frugal number, since it uses more digits than its factorization.

47127633921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48254 (or 24124 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 47127633921 in words is "forty-seven billion, one hundred twenty-seven million, six hundred thirty-three thousand, nine hundred twenty-one".