847433968416 has 432 divisors, whose sum is σ = 2919786367680. Its totient is φ = 232251909120.

The previous prime is 847433968411. The next prime is 847433968477. The reversal of 847433968416 is 614869334748.

It is a happy number.

847433968416 is a `hidden beast` number, since 8 + 474 + 33 + 96 + 8 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (847433968411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37060795 + ... + 37083653.

It is an arithmetic number, because the mean of its divisors is an integer number (6758764740).

Almost surely, 2^847433968416 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 847433968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459893183840).

847433968416 is an abundant number, since it is smaller than the sum of its proper divisors (2072352399264).

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

847433968416 is a wasteful number, since it uses less digits than its factorization.

847433968416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22997 (or 22979 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 847433968416 in words is "eight hundred forty-seven billion, four hundred thirty-three million, nine hundred sixty-eight thousand, four hundred sixteen".