14031468000 has 960 divisors, whose sum is σ = 58450968576. Its totient is φ = 3265920000.

The previous prime is 14031467999. The next prime is 14031468029. The reversal of 14031468000 is 86413041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 110483937 + ... + 110484063.

Almost surely, 2^14031468000 is an apocalyptic number.

14031468000 is a gapful number since it is divisible by the number (10) 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 14031468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29225484288).

14031468000 is an abundant number, since it is smaller than the sum of its proper divisors (44419500576).

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

14031468000 is a wasteful number, since it uses less digits than its factorization.

14031468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14031468000 in words is "fourteen billion, thirty-one million, four hundred sixty-eight thousand".