47900457216 has 144 divisors (see below), whose sum is σ = 146535177600. Its totient is φ = 15416174592.

The previous prime is 47900457191. The next prime is 47900457233. The reversal of 47900457216 is 61275400974.

47900457216 is a `hidden beast` number, since 4 + 79 + 0 + 0 + 4 + 572 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80965 + ... + 319931.

It is an arithmetic number, because the mean of its divisors is an integer number (1017605400).

Almost surely, 2^47900457216 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 47900457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73267588800).

47900457216 is an abundant number, since it is smaller than the sum of its proper divisors (98634720384).

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

47900457216 is a wasteful number, since it uses less digits than its factorization.

47900457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239021 (or 239001 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47900457216 in words is "forty-seven billion, nine hundred million, four hundred fifty-seven thousand, two hundred sixteen".