47873002401 has 135 divisors (see below), whose sum is σ = 87543683073. Its totient is φ = 25993321200.

The previous prime is 47873002399. The next prime is 47873002409. The reversal of 47873002401 is 10420037874.

It is a happy number.

The square root of 47873002401 is 218799.

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

It is not a de Polignac number, because 47873002401 - 2¹ = 47873002399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47873002409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 317039676 + ... + 317039826.

Almost surely, 2^47873002401 is an apocalyptic number.

47873002401 is the 218799-th square number.

47873002401 is the 109400-th centered octagonal number.

It is an amenable number.

47873002401 is a deficient number, since it is larger than the sum of its proper divisors (39670680672).

47873002401 is an equidigital number, since it uses as much as digits as its factorization.

47873002401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 47873002401 by its sum of digits (36), we get a square (1723428086436 = 1312794²).

The spelling of 47873002401 in words is "forty-seven billion, eight hundred seventy-three million, two thousand, four hundred one".