846286261120 has 256 divisors, whose sum is σ = 2127365856000. Its totient is φ = 321563934720.

The previous prime is 846286261109. The next prime is 846286261129. The reversal of 846286261120 is 21162682648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846286261129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427632291 + ... + 427634269.

It is an arithmetic number, because the mean of its divisors is an integer number (8310022875).

Almost surely, 2^846286261120 is an apocalyptic number.

846286261120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846286261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063682928000).

846286261120 is an abundant number, since it is smaller than the sum of its proper divisors (1281079594880).

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

846286261120 is a wasteful number, since it uses less digits than its factorization.

846286261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 846286261120 in words is "eight hundred forty-six billion, two hundred eighty-six million, two hundred sixty-one thousand, one hundred twenty".