846146016 has 72 divisors (see below), whose sum is σ = 2422287504. Its totient is φ = 280166400.

The previous prime is 846145999. The next prime is 846146017. The reversal of 846146016 is 610641648.

846146016 is a `hidden beast` number, since 8 + 46 + 1 + 4 + 601 + 6 = 666.

846146016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846146017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33760 + ... + 53216.

It is an arithmetic number, because the mean of its divisors is an integer number (33642882).

Almost surely, 2^846146016 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 846146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211143752).

846146016 is an abundant number, since it is smaller than the sum of its proper divisors (1576141488).

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

846146016 is a wasteful number, since it uses less digits than its factorization.

846146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624 (or 19613 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 846146016 is about 29088.5891029455. The cubic root of 846146016 is about 945.8343986757.

The spelling of 846146016 in words is "eight hundred forty-six million, one hundred forty-six thousand, sixteen".