14244911218944 has 1728 divisors, whose sum is σ = 51690405312000. Its totient is φ = 3763566084096.

The previous prime is 14244911218873. The next prime is 14244911219027. The reversal of 14244911218944 is 44981211944241.

14244911218944 is a `hidden beast` number, since 1 + 4 + 2 + 449 + 1 + 12 + 189 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90731918514 + ... + 90731918670.

It is an arithmetic number, because the mean of its divisors is an integer number (29913429000).

Almost surely, 2^{14244911218944} is an apocalyptic number.

14244911218944 is a gapful number since it is divisible by the number (14) 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 14244911218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25845202656000).

14244911218944 is an abundant number, since it is smaller than the sum of its proper divisors (37445494093056).

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

14244911218944 is a wasteful number, since it uses less digits than its factorization.

14244911218944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 342 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 14244911218944 in words is "fourteen trillion, two hundred forty-four billion, nine hundred eleven million, two hundred eighteen thousand, nine hundred forty-four".