14393412096 has 360 divisors, whose sum is σ = 46322258400. Its totient is φ = 3959746560.

The previous prime is 14393412091. The next prime is 14393412113. The reversal of 14393412096 is 69021439341.

It is a super-2 number, since 2×14393412096² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14393412091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72328605 + ... + 72328803.

It is an arithmetic number, because the mean of its divisors is an integer number (128672940).

Almost surely, 2^14393412096 is an apocalyptic number.

14393412096 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 14393412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23161129200).

14393412096 is an abundant number, since it is smaller than the sum of its proper divisors (31928846304).

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

14393412096 is an equidigital number, since it uses as much as digits as its factorization.

14393412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 14393412096 in words is "fourteen billion, three hundred ninety-three million, four hundred twelve thousand, ninety-six".