846430403616 has 384 divisors, whose sum is σ = 2874716006400. Its totient is φ = 237289927680.

The previous prime is 846430403561. The next prime is 846430403629. The reversal of 846430403616 is 616304034648.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163432515 + ... + 163437693.

It is an arithmetic number, because the mean of its divisors is an integer number (7486239600).

Almost surely, 2^846430403616 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 846430403616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437358003200).

846430403616 is an abundant number, since it is smaller than the sum of its proper divisors (2028285602784).

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

846430403616 is a wasteful number, since it uses less digits than its factorization.

846430403616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 846430403616 in words is "eight hundred forty-six billion, four hundred thirty million, four hundred three thousand, six hundred sixteen".