47657700216 has 128 divisors (see below), whose sum is σ = 151364390400. Its totient is φ = 13610177280.

The previous prime is 47657700179. The next prime is 47657700241. The reversal of 47657700216 is 61200775674.

47657700216 is a `hidden beast` number, since 4 + 76 + 577 + 0 + 0 + 2 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3975111 + ... + 3987081.

It is an arithmetic number, because the mean of its divisors is an integer number (1182534300).

Almost surely, 2^47657700216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47657700216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75682195200).

47657700216 is an abundant number, since it is smaller than the sum of its proper divisors (103706690184).

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

47657700216 is a wasteful number, since it uses less digits than its factorization.

47657700216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 47657700216 in words is "forty-seven billion, six hundred fifty-seven million, seven hundred thousand, two hundred sixteen".