14314315112244 has 384 divisors, whose sum is σ = 46160272972800. Its totient is φ = 3748335575040.

The previous prime is 14314315112159. The next prime is 14314315112267. The reversal of 14314315112244 is 44221151341341.

14314315112244 is a `hidden beast` number, since 1 + 4 + 314 + 315 + 1 + 1 + 2 + 24 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14314315112199 and 14314315112208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33043512 + ... + 33473904.

It is an arithmetic number, because the mean of its divisors is an integer number (120209044200).

Almost surely, 2^{14314315112244} is an apocalyptic number.

14314315112244 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 14314315112244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080136486400).

14314315112244 is an abundant number, since it is smaller than the sum of its proper divisors (31845957860556).

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

14314315112244 is a wasteful number, since it uses less digits than its factorization.

14314315112244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430520 (or 430512 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 14314315112244 its reverse (44221151341341), we get a palindrome (58535466453585).

The spelling of 14314315112244 in words is "fourteen trillion, three hundred fourteen billion, three hundred fifteen million, one hundred twelve thousand, two hundred forty-four".