445013267328 has 512 divisors, whose sum is σ = 1631059968000. Its totient is φ = 116565350400.

The previous prime is 445013267269. The next prime is 445013267329. The reversal of 445013267328 is 823762310544.

445013267328 is a `hidden beast` number, since 4 + 4 + 50 + 13 + 267 + 328 = 666.

445013267328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445013267329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14233473 + ... + 14264703.

It is an arithmetic number, because the mean of its divisors is an integer number (3185664000).

Almost surely, 2^445013267328 is an apocalyptic number.

445013267328 is a gapful number since it is divisible by the number (48) 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 445013267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815529984000).

445013267328 is an abundant number, since it is smaller than the sum of its proper divisors (1186046700672).

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

445013267328 is a wasteful number, since it uses less digits than its factorization.

445013267328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31311 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 445013267328 in words is "four hundred forty-five billion, thirteen million, two hundred sixty-seven thousand, three hundred twenty-eight".