47188872900 has 243 divisors, whose sum is σ = 160451938101. Its totient is φ = 11594868480.

The previous prime is 47188872881. The next prime is 47188872919. The reversal of 47188872900 is 927888174.

It is a happy number.

The square root of 47188872900 is 217230.

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

47188872900 is a `hidden beast` number, since 471 + 8 + 8 + 87 + 2 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47188872881) and next prime (47188872919).

It can be written as a sum of positive squares in 13 ways, for example, as 44699262084 + 2489610816 = 211422^2 + 49896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84719422 + ... + 84719978.

Almost surely, 2^47188872900 is an apocalyptic number.

47188872900 is the 217230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47188872900

47188872900 is an abundant number, since it is smaller than the sum of its proper divisors (113263065201).

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

47188872900 is a wasteful number, since it uses less digits than its factorization.

47188872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 47188872900 in words is "forty-seven billion, one hundred eighty-eight million, eight hundred seventy-two thousand, nine hundred".