47609908416 has 504 divisors, whose sum is σ = 170707086576. Its totient is φ = 12603064320.

The previous prime is 47609908403. The next prime is 47609908421. The reversal of 47609908416 is 61480990674.

47609908416 is a `hidden beast` number, since 476 + 0 + 9 + 90 + 84 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32146396 + ... + 32147876.

Almost surely, 2^47609908416 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 47609908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85353543288).

47609908416 is an abundant number, since it is smaller than the sum of its proper divisors (123097178160).

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

47609908416 is a wasteful number, since it uses less digits than its factorization.

47609908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 47609908416 in words is "forty-seven billion, six hundred nine million, nine hundred eight thousand, four hundred sixteen".