14312988144 has 320 divisors, whose sum is σ = 50732308480. Its totient is φ = 3762339840.

The previous prime is 14312988139. The next prime is 14312988149. The reversal of 14312988144 is 44188921341.

It is an interprime number because it is at equal distance from previous prime (14312988139) and next prime (14312988149).

It is a super-2 number, since 2×14312988144² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14312988144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312988149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22682709 + ... + 22683339.

It is an arithmetic number, because the mean of its divisors is an integer number (158538464).

Almost surely, 2^14312988144 is an apocalyptic number.

14312988144 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 14312988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25366154240).

14312988144 is an abundant number, since it is smaller than the sum of its proper divisors (36419320336).

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

14312988144 is a wasteful number, since it uses less digits than its factorization.

14312988144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 14312988144 in words is "fourteen billion, three hundred twelve million, nine hundred eighty-eight thousand, one hundred forty-four".