14413921296 has 160 divisors (see below), whose sum is σ = 39597465600. Its totient is φ = 4512076800.

The previous prime is 14413921289. The next prime is 14413921331. The reversal of 14413921296 is 69212931441.

It is a super-2 number, since 2×14413921296² (a number of 21 digits) contains 22 as substring.

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, 6007105 + ... + 6009503.

It is an arithmetic number, because the mean of its divisors is an integer number (247484160).

Almost surely, 2^14413921296 is an apocalyptic number.

14413921296 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 14413921296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798732800).

14413921296 is an abundant number, since it is smaller than the sum of its proper divisors (25183544304).

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

14413921296 is a wasteful number, since it uses less digits than its factorization.

14413921296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2559 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 14413921296 in words is "fourteen billion, four hundred thirteen million, nine hundred twenty-one thousand, two hundred ninety-six".