47456818200 has 288 divisors, whose sum is σ = 176251598640. Its totient is φ = 11346739200.

The previous prime is 47456818147. The next prime is 47456818217. The reversal of 47456818200 is 281865474.

47456818200 is a `hidden beast` number, since 4 + 7 + 4 + 568 + 1 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1428984 + ... + 1461816.

Almost surely, 2^47456818200 is an apocalyptic number.

47456818200 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 47456818200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88125799320).

47456818200 is an abundant number, since it is smaller than the sum of its proper divisors (128794780440).

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

47456818200 is a wasteful number, since it uses less digits than its factorization.

47456818200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32939 (or 32927 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 47456818200 in words is "forty-seven billion, four hundred fifty-six million, eight hundred eighteen thousand, two hundred".