846112315644 has 96 divisors (see below), whose sum is σ = 2205016647680. Its totient is φ = 280575187200.

The previous prime is 846112315507. The next prime is 846112315673. The reversal of 846112315644 is 446513211648.

846112315644 is a `hidden beast` number, since 8 + 4 + 61 + 1 + 23 + 1 + 564 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 846112315644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25777347 + ... + 25810149.

Almost surely, 2^846112315644 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 846112315644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102508323840).

846112315644 is an abundant number, since it is smaller than the sum of its proper divisors (1358904332036).

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

846112315644 is a wasteful number, since it uses less digits than its factorization.

846112315644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34048 (or 34040 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 846112315644 in words is "eight hundred forty-six billion, one hundred twelve million, three hundred fifteen thousand, six hundred forty-four".