445844310912 has 2880 divisors, whose sum is σ = 2026315977840. Its totient is φ = 95312609280.

The previous prime is 445844310881. The next prime is 445844310913. The reversal of 445844310912 is 219013448544.

445844310912 is a `hidden beast` number, since 4 + 4 + 584 + 43 + 10 + 9 + 12 = 666.

It is a super-2 number, since 2×445844310912² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445844310913) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 23465490039 + ... + 23465490057.

Almost surely, 2^445844310912 is an apocalyptic number.

445844310912 is a gapful number since it is divisible by the number (42) 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 445844310912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013157988920).

445844310912 is an abundant number, since it is smaller than the sum of its proper divisors (1580471666928).

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

445844310912 is a wasteful number, since it uses less digits than its factorization.

445844310912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 445844310912 in words is "four hundred forty-five billion, eight hundred forty-four million, three hundred ten thousand, nine hundred twelve".