47857084416 has 192 divisors, whose sum is σ = 144176760000. Its totient is φ = 15680913408.

The previous prime is 47857084391. The next prime is 47857084417. The reversal of 47857084416 is 61448075874.

47857084416 is a `hidden beast` number, since 4 + 7 + 85 + 70 + 84 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×47857084416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47857084417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3255130 + ... + 3269798.

It is an arithmetic number, because the mean of its divisors is an integer number (750920625).

Almost surely, 2^47857084416 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 47857084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72088380000).

47857084416 is an abundant number, since it is smaller than the sum of its proper divisors (96319675584).

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

47857084416 is a wasteful number, since it uses less digits than its factorization.

47857084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14759 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 47857084416 in words is "forty-seven billion, eight hundred fifty-seven million, eighty-four thousand, four hundred sixteen".