14012234496 has 288 divisors, whose sum is σ = 47254173120. Its totient is φ = 4057399296.

The previous prime is 14012234477. The next prime is 14012234519. The reversal of 14012234496 is 69443221041.

14012234496 is a `hidden beast` number, since 1 + 40 + 122 + 3 + 4 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14012234496.

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, 1522966 + ... + 1532138.

It is an arithmetic number, because the mean of its divisors is an integer number (164076990).

Almost surely, 2^14012234496 is an apocalyptic number.

14012234496 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 14012234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23627086560).

14012234496 is an abundant number, since it is smaller than the sum of its proper divisors (33241938624).

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

14012234496 is a wasteful number, since it uses less digits than its factorization.

14012234496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14012234496 in words is "fourteen billion, twelve million, two hundred thirty-four thousand, four hundred ninety-six".