846345500052000 has 768 divisors, whose sum is σ = 3164208199326720. Its totient is φ = 196241289216000.

The previous prime is 846345500051977. The next prime is 846345500052023. The reversal of 846345500052000 is 250005543648.

It is an interprime number because it is at equal distance from previous prime (846345500051977) and next prime (846345500052023).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183202549 + ... + 187765451.

It is an arithmetic number, because the mean of its divisors is an integer number (4120062759540).

Almost surely, 2^{846345500052000} is an apocalyptic number.

846345500052000 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 846345500052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582104099663360).

846345500052000 is an abundant number, since it is smaller than the sum of its proper divisors (2317862699274720).

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

846345500052000 is a wasteful number, since it uses less digits than its factorization.

846345500052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563014 (or 4562996 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 846345500052000 its reverse (250005543648), we get a palindrome (846595505595648).

The spelling of 846345500052000 in words is "eight hundred forty-six trillion, three hundred forty-five billion, five hundred million, fifty-two thousand".