14444235314544 has 160 divisors (see below), whose sum is σ = 42793511040000. Its totient is φ = 4112561664000.

The previous prime is 14444235314533. The next prime is 14444235314581. The reversal of 14444235314544 is 44541353244441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14444235314493 and 14444235314502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137512957 + ... + 137617955.

It is an arithmetic number, because the mean of its divisors is an integer number (267459444000).

Almost surely, 2^{14444235314544} is an apocalyptic number.

14444235314544 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 14444235314544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396755520000).

14444235314544 is an abundant number, since it is smaller than the sum of its proper divisors (28349275725456).

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

14444235314544 is a wasteful number, since it uses less digits than its factorization.

14444235314544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106439 (or 106433 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

Adding to 14444235314544 its reverse (44541353244441), we get a palindrome (58985588558985).

The spelling of 14444235314544 in words is "fourteen trillion, four hundred forty-four billion, two hundred thirty-five million, three hundred fourteen thousand, five hundred forty-four".