846865012320 has 576 divisors, whose sum is σ = 3098869824960. Its totient is φ = 209857019904.

The previous prime is 846865012319. The next prime is 846865012327. The reversal of 846865012320 is 23210568648.

846865012320 is a `hidden beast` number, since 8 + 46 + 86 + 501 + 2 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846865012327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1076066967 + ... + 1076067753.

It is an arithmetic number, because the mean of its divisors is an integer number (5379982335).

Almost surely, 2^846865012320 is an apocalyptic number.

846865012320 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 846865012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549434912480).

846865012320 is an abundant number, since it is smaller than the sum of its proper divisors (2252004812640).

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

846865012320 is a wasteful number, since it uses less digits than its factorization.

846865012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1316 counting only the distinct ones).

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

The spelling of 846865012320 in words is "eight hundred forty-six billion, eight hundred sixty-five million, twelve thousand, three hundred twenty".