846677615616 has 352 divisors, whose sum is σ = 2868716238080. Its totient is φ = 241649713152.

The previous prime is 846677615587. The next prime is 846677615629. The reversal of 846677615616 is 616516776648.

846677615616 is a `hidden beast` number, since 8 + 4 + 6 + 6 + 7 + 7 + 6 + 1 + 5 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251014506 + ... + 251017878.

It is an arithmetic number, because the mean of its divisors is an integer number (8149762040).

Almost surely, 2^846677615616 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 846677615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434358119040).

846677615616 is an abundant number, since it is smaller than the sum of its proper divisors (2022038622464).

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

846677615616 is a wasteful number, since it uses less digits than its factorization.

846677615616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4682 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 846677615616 in words is "eight hundred forty-six billion, six hundred seventy-seven million, six hundred fifteen thousand, six hundred sixteen".