846522225648 has 320 divisors, whose sum is σ = 2710283673600. Its totient is φ = 250771127040.

The previous prime is 846522225643. The next prime is 846522225683.

846522225648 is a `hidden beast` number, since 8 + 4 + 6 + 52 + 2 + 22 + 564 + 8 = 666.

846522225648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 846522225594 and 846522225603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846522225643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259747443 + ... + 259750701.

It is an arithmetic number, because the mean of its divisors is an integer number (8469636480).

Almost surely, 2^846522225648 is an apocalyptic number.

846522225648 is a gapful number since it is divisible by the number (88) 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 846522225648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355141836800).

846522225648 is an abundant number, since it is smaller than the sum of its proper divisors (1863761447952).

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

846522225648 is a wasteful number, since it uses less digits than its factorization.

846522225648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4485 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 846522225648 in words is "eight hundred forty-six billion, five hundred twenty-two million, two hundred twenty-five thousand, six hundred forty-eight".