14014344960 has 1296 divisors, whose sum is σ = 64231326432. Its totient is φ = 2786918400.

The previous prime is 14014344941. The next prime is 14014344973. The reversal of 14014344960 is 6944341041.

It is a happy number.

14014344960 is a `hidden beast` number, since 14 + 0 + 143 + 449 + 60 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 229743330 + ... + 229743390.

Almost surely, 2^14014344960 is an apocalyptic number.

14014344960 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 14014344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32115663216).

14014344960 is an abundant number, since it is smaller than the sum of its proper divisors (50216981472).

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

14014344960 is a wasteful number, since it uses less digits than its factorization.

14014344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14014344960 in words is "fourteen billion, fourteen million, three hundred forty-four thousand, nine hundred sixty".