14272224960 has 448 divisors, whose sum is σ = 54607675392. Its totient is φ = 3087642624.

The previous prime is 14272224959. The next prime is 14272224977. The reversal of 14272224960 is 6942227241.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×14272224960³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16537489 + ... + 16538351.

Almost surely, 2^14272224960 is an apocalyptic number.

14272224960 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 14272224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27303837696).

14272224960 is an abundant number, since it is smaller than the sum of its proper divisors (40335450432).

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

14272224960 is a wasteful number, since it uses less digits than its factorization.

14272224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 14272224960 in words is "fourteen billion, two hundred seventy-two million, two hundred twenty-four thousand, nine hundred sixty".