14283454014720 has 864 divisors, whose sum is σ = 57136966427520. Its totient is φ = 3350871244800.

The previous prime is 14283454014719. The next prime is 14283454014743. The reversal of 14283454014720 is 2741045438241.

14283454014720 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 34 + 540 + 1 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365314212 + ... + 365353308.

It is an arithmetic number, because the mean of its divisors is an integer number (66130748180).

Almost surely, 2^{14283454014720} is an apocalyptic number.

14283454014720 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 14283454014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28568483213760).

14283454014720 is an abundant number, since it is smaller than the sum of its proper divisors (42853512412800).

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

14283454014720 is a wasteful number, since it uses less digits than its factorization.

14283454014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39200 (or 39149 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 14283454014720 in words is "fourteen trillion, two hundred eighty-three billion, four hundred fifty-four million, fourteen thousand, seven hundred twenty".