47453829921 has 9 divisors (see below), whose sum is σ = 68545364979. Its totient is φ = 31635450936.

The previous prime is 47453829911. The next prime is 47453829947. The reversal of 47453829921 is 12992835474.

The square root of 47453829921 is 217839.

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

47453829921 is a `hidden beast` number, since 4 + 7 + 453 + 82 + 99 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37645700625 + 9808129296 = 194025^2 + 99036^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 47453829921 - 2¹⁹ = 47453305633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47453829911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 617211 + ... + 689823.

Almost surely, 2^47453829921 is an apocalyptic number.

47453829921 is the 217839-th square number.

47453829921 is the 108920-th centered octagonal number.

It is an amenable number.

47453829921 is a deficient number, since it is larger than the sum of its proper divisors (21091535058).

47453829921 is an frugal number, since it uses more digits than its factorization.

47453829921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145232 (or 72616 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 47453829921 in words is "forty-seven billion, four hundred fifty-three million, eight hundred twenty-nine thousand, nine hundred twenty-one".