47903201424 has 405 divisors, whose sum is σ = 154282834251. Its totient is φ = 13867476480.

The previous prime is 47903201347. The next prime is 47903201531. The reversal of 47903201424 is 42410230974.

The square root of 47903201424 is 218868.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33686931600 + 14216269824 = 183540^2 + 119232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 785298354 + ... + 785298414.

Almost surely, 2^47903201424 is an apocalyptic number.

47903201424 is the 218868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47903201424

47903201424 is an abundant number, since it is smaller than the sum of its proper divisors (106379632827).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47903201424 is a wasteful number, since it uses less digits than its factorization.

47903201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 47903201424 by its sum of digits (36), we get a square (1724515251264 = 1313208²).

47903201424 divided by its sum of digits (36) gives a square (1330644484 = 36478²).

The spelling of 47903201424 in words is "forty-seven billion, nine hundred three million, two hundred one thousand, four hundred twenty-four".