846617942016 has 1296 divisors, whose sum is σ = 3202767509760. Its totient is φ = 214592716800.

The previous prime is 846617941993. The next prime is 846617942081. The reversal of 846617942016 is 610249716648.

846617942016 is a `hidden beast` number, since 8 + 4 + 6 + 617 + 9 + 4 + 2 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6666282945 + ... + 6666283071.

Almost surely, 2^846617942016 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 846617942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601383754880).

846617942016 is an abundant number, since it is smaller than the sum of its proper divisors (2356149567744).

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

846617942016 is a wasteful number, since it uses less digits than its factorization.

846617942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 846617942016 in words is "eight hundred forty-six billion, six hundred seventeen million, nine hundred forty-two thousand, sixteen".