14034318144 has 168 divisors, whose sum is σ = 47122067808. Its totient is φ = 3645250560.

The previous prime is 14034318143. The next prime is 14034318161. The reversal of 14034318144 is 44181343041.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14034318143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35682 + ... + 171294.

Almost surely, 2^14034318144 is an apocalyptic number.

14034318144 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 14034318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23561033904).

14034318144 is an abundant number, since it is smaller than the sum of its proper divisors (33087749664).

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

14034318144 is a wasteful number, since it uses less digits than its factorization.

14034318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135653 (or 135636 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 14034318144 in words is "fourteen billion, thirty-four million, three hundred eighteen thousand, one hundred forty-four".