846825528648 has 96 divisors (see below), whose sum is σ = 2328942379680. Its totient is φ = 256401868800.

The previous prime is 846825528617. The next prime is 846825528691.

846825528648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×846825528648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3414363 + ... + 3653973.

It is an arithmetic number, because the mean of its divisors is an integer number (24259816455).

Almost surely, 2^846825528648 is an apocalyptic number.

846825528648 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 846825528648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164471189840).

846825528648 is an abundant number, since it is smaller than the sum of its proper divisors (1482116851032).

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

846825528648 is a wasteful number, since it uses less digits than its factorization.

846825528648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240859 (or 240844 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 66.

The spelling of 846825528648 in words is "eight hundred forty-six billion, eight hundred twenty-five million, five hundred twenty-eight thousand, six hundred forty-eight".