445394016144 has 640 divisors, whose sum is σ = 1653654159360. Its totient is φ = 111414528000.

The previous prime is 445394016143. The next prime is 445394016157. The reversal of 445394016144 is 441610493544.

445394016144 is a `hidden beast` number, since 4 + 453 + 9 + 40 + 16 + 144 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 445394016144.

It is not an unprimeable number, because it can be changed into a prime (445394016143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124305777 + ... + 124309359.

It is an arithmetic number, because the mean of its divisors is an integer number (2583834624).

Almost surely, 2^445394016144 is an apocalyptic number.

445394016144 is a gapful number since it is divisible by the number (44) 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 445394016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826827079680).

445394016144 is an abundant number, since it is smaller than the sum of its proper divisors (1208260143216).

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

445394016144 is a wasteful number, since it uses less digits than its factorization.

445394016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 445394016144 in words is "four hundred forty-five billion, three hundred ninety-four million, sixteen thousand, one hundred forty-four".