47816568900 has 243 divisors, whose sum is σ = 154824517029. Its totient is φ = 12343484160.

The previous prime is 47816568893. The next prime is 47816568923. The reversal of 47816568900 is 986561874.

The square root of 47816568900 is 218670.

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

47816568900 is a `hidden beast` number, since 4 + 78 + 1 + 6 + 568 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1378042884 + 46438526016 = 37122^2 + 215496^2 .

It is a super-3 number, since 3×47816568900³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 242723602 + ... + 242723798.

Almost surely, 2^47816568900 is an apocalyptic number.

47816568900 is the 218670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47816568900

47816568900 is an abundant number, since it is smaller than the sum of its proper divisors (107007948129).

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

47816568900 is a wasteful number, since it uses less digits than its factorization.

47816568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 47816568900 in words is "forty-seven billion, eight hundred sixteen million, five hundred sixty-eight thousand, nine hundred".