845958338240 has 112 divisors (see below), whose sum is σ = 2057139944640. Its totient is φ = 331239567360.

The previous prime is 845958338207. The next prime is 845958338263. The reversal of 845958338240 is 42833859548.

845958338240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 845958338240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7388630 + ... + 7502250.

Almost surely, 2^845958338240 is an apocalyptic number.

845958338240 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 845958338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028569972320).

845958338240 is an abundant number, since it is smaller than the sum of its proper divisors (1211181606400).

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

845958338240 is a wasteful number, since it uses less digits than its factorization.

845958338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114130 (or 114120 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 59.

The spelling of 845958338240 in words is "eight hundred forty-five billion, nine hundred fifty-eight million, three hundred thirty-eight thousand, two hundred forty".