14032144896 has 480 divisors, whose sum is σ = 50279942592. Its totient is φ = 3426877440.

The previous prime is 14032144877. The next prime is 14032144927. The reversal of 14032144896 is 69844123041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14073870 + ... + 14074866.

Almost surely, 2^14032144896 is an apocalyptic number.

14032144896 is a gapful number since it is divisible by the number (16) 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 14032144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25139971296).

14032144896 is an abundant number, since it is smaller than the sum of its proper divisors (36247797696).

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

14032144896 is a wasteful number, since it uses less digits than its factorization.

14032144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 14032144896 in words is "fourteen billion, thirty-two million, one hundred forty-four thousand, eight hundred ninety-six".