14213700144 has 240 divisors, whose sum is σ = 46964136960. Its totient is φ = 3928826880.

The previous prime is 14213700143. The next prime is 14213700161. The reversal of 14213700144 is 44100731241.

It is not an unprimeable number, because it can be changed into a prime (14213700143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4214779 + ... + 4218149.

It is an arithmetic number, because the mean of its divisors is an integer number (195683904).

Almost surely, 2^14213700144 is an apocalyptic number.

14213700144 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 14213700144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482068480).

14213700144 is an abundant number, since it is smaller than the sum of its proper divisors (32750436816).

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

14213700144 is a wasteful number, since it uses less digits than its factorization.

14213700144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14213700144 in words is "fourteen billion, two hundred thirteen million, seven hundred thousand, one hundred forty-four".