945869944320 has 400 divisors, whose sum is σ = 3871785680928. Its totient is φ = 216198512640.

The previous prime is 945869944259. The next prime is 945869944367. The reversal of 945869944320 is 23449968549.

945869944320 is a `hidden beast` number, since 9 + 4 + 5 + 86 + 99 + 443 + 20 = 666.

945869944320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1125700 + ... + 1777340.

Almost surely, 2^945869944320 is an apocalyptic number.

945869944320 is a gapful number since it is divisible by the number (90) 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 945869944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935892840464).

945869944320 is an abundant number, since it is smaller than the sum of its proper divisors (2925915736608).

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

945869944320 is an equidigital number, since it uses as much as digits as its factorization.

945869944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651683 (or 651658 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 945869944320 in words is "nine hundred forty-five billion, eight hundred sixty-nine million, nine hundred forty-four thousand, three hundred twenty".