445077273312 has 480 divisors, whose sum is σ = 1580998003200. Its totient is φ = 119989527552.

The previous prime is 445077273269. The next prime is 445077273349. The reversal of 445077273312 is 213372770544.

445077273312 is a `hidden beast` number, since 4 + 4 + 507 + 72 + 73 + 3 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90663114 + ... + 90668022.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745840).

Almost surely, 2^445077273312 is an apocalyptic number.

445077273312 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 445077273312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790499001600).

445077273312 is an abundant number, since it is smaller than the sum of its proper divisors (1135920729888).

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

445077273312 is a wasteful number, since it uses less digits than its factorization.

445077273312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 445077273312 in words is "four hundred forty-five billion, seventy-seven million, two hundred seventy-three thousand, three hundred twelve".