444005103114 has 96 divisors (see below), whose sum is σ = 1046586977280. Its totient is φ = 135471730176.

The previous prime is 444005103107. The next prime is 444005103127. The reversal of 444005103114 is 411301500444.

444005103114 is a `hidden beast` number, since 4 + 440 + 0 + 5 + 103 + 114 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30777307 + ... + 30791729.

It is an arithmetic number, because the mean of its divisors is an integer number (10901947680).

Almost surely, 2^444005103114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444005103114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523293488640).

444005103114 is an abundant number, since it is smaller than the sum of its proper divisors (602581874166).

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

444005103114 is a wasteful number, since it uses less digits than its factorization.

444005103114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17204 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 444005103114 its reverse (411301500444), we get a palindrome (855306603558).

The spelling of 444005103114 in words is "four hundred forty-four billion, five million, one hundred three thousand, one hundred fourteen".