846247742648 has 128 divisors (see below), whose sum is σ = 1988575142400. Its totient is φ = 327987110400.

The previous prime is 846247742591. The next prime is 846247742657.

846247742648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×846247742648² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 322870778 + ... + 322873398.

It is an arithmetic number, because the mean of its divisors is an integer number (15535743300).

Almost surely, 2^846247742648 is an apocalyptic number.

846247742648 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 846247742648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994287571200).

846247742648 is an abundant number, since it is smaller than the sum of its proper divisors (1142327399752).

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

846247742648 is a wasteful number, since it uses less digits than its factorization.

846247742648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5177 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 62.

The spelling of 846247742648 in words is "eight hundred forty-six billion, two hundred forty-seven million, seven hundred forty-two thousand, six hundred forty-eight".