14265672480 has 192 divisors, whose sum is σ = 50029418880. Its totient is φ = 3796595712.

The previous prime is 14265672439. The next prime is 14265672517. The reversal of 14265672480 is 8427656241.

14265672480 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 567 + 2 + 4 + 80 = 666.

It is a super-2 number, since 2×14265672480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2360022 + ... + 2366058.

It is an arithmetic number, because the mean of its divisors is an integer number (260569890).

Almost surely, 2^14265672480 is an apocalyptic number.

14265672480 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 14265672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25014709440).

14265672480 is an abundant number, since it is smaller than the sum of its proper divisors (35763746400).

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

14265672480 is a wasteful number, since it uses less digits than its factorization.

14265672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 14265672480 in words is "fourteen billion, two hundred sixty-five million, six hundred seventy-two thousand, four hundred eighty".