47633214200 has 192 divisors, whose sum is σ = 130311659520. Its totient is φ = 15963840000.

The previous prime is 47633214193. The next prime is 47633214227. The reversal of 47633214200 is 241233674.

47633214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32917877 + ... + 32919323.

It is an arithmetic number, because the mean of its divisors is an integer number (678706560).

Almost surely, 2^47633214200 is an apocalyptic number.

47633214200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47633214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65155829760).

47633214200 is an abundant number, since it is smaller than the sum of its proper divisors (82678445320).

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

47633214200 is a wasteful number, since it uses less digits than its factorization.

47633214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 47633214200 its reverse (241233674), we get a palindrome (47874447874).

The spelling of 47633214200 in words is "forty-seven billion, six hundred thirty-three million, two hundred fourteen thousand, two hundred".