846439106560 has 288 divisors, whose sum is σ = 2168609625000. Its totient is φ = 317013884928.

The previous prime is 846439106531. The next prime is 846439106561. The reversal of 846439106560 is 65601934648.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 462356481024 + 384082625536 = 679968^2 + 619744^2 .

It is a super-2 number, since 2×846439106560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 846439106498 and 846439106507.

It is not an unprimeable number, because it can be changed into a prime (846439106561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677692816 + ... + 677694064.

Almost surely, 2^846439106560 is an apocalyptic number.

846439106560 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 846439106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084304812500).

846439106560 is an abundant number, since it is smaller than the sum of its proper divisors (1322170518440).

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

846439106560 is a wasteful number, since it uses less digits than its factorization.

846439106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 846439106560 in words is "eight hundred forty-six billion, four hundred thirty-nine million, one hundred six thousand, five hundred sixty".