47317084416 has 972 divisors, whose sum is σ = 177735750192. Its totient is φ = 12509779968.

The previous prime is 47317084393. The next prime is 47317084457. The reversal of 47317084416 is 61448071374.

47317084416 is a `hidden beast` number, since 473 + 170 + 8 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×47317084416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1100397291 + ... + 1100397333.

Almost surely, 2^47317084416 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 47317084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88867875096).

47317084416 is an abundant number, since it is smaller than the sum of its proper divisors (130418665776).

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

47317084416 is an equidigital number, since it uses as much as digits as its factorization.

47317084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 47317084416 in words is "forty-seven billion, three hundred seventeen million, eighty-four thousand, four hundred sixteen".