846365599981440 has 5184 divisors, whose sum is σ = 3997251567756720. Its totient is φ = 164502944686080.

The previous prime is 846365599981409. The next prime is 846365599981471. The reversal of 846365599981440 is 44189995563648.

846365599981440 is a `hidden beast` number, since 8 + 4 + 6 + 3 + 6 + 5 + 5 + 9 + 99 + 81 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (846365599981409) and next prime (846365599981471).

It is a self number, because there is not a number n which added to its sum of digits gives 846365599981440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 10713488607321 + ... + 10713488607399.

Almost surely, 2^{846365599981440} is an apocalyptic number.

846365599981440 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 846365599981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998625783878360).

846365599981440 is an abundant number, since it is smaller than the sum of its proper divisors (3150885967775280).

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

846365599981440 is a wasteful number, since it uses less digits than its factorization.

846365599981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8062156800, while the sum is 81.

The spelling of 846365599981440 in words is "eight hundred forty-six trillion, three hundred sixty-five billion, five hundred ninety-nine million, nine hundred eighty-one thousand, four hundred forty".