14240894976 has 624 divisors, whose sum is σ = 53360760960. Its totient is φ = 3550740480.

The previous prime is 14240894903. The next prime is 14240894977. The reversal of 14240894976 is 67949804241.

14240894976 is a `hidden beast` number, since 142 + 4 + 0 + 8 + 9 + 497 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240894977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82317226 + ... + 82317398.

It is an arithmetic number, because the mean of its divisors is an integer number (85514040).

Almost surely, 2^14240894976 is an apocalyptic number.

14240894976 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 14240894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26680380480).

14240894976 is an abundant number, since it is smaller than the sum of its proper divisors (39119865984).

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

14240894976 is a wasteful number, since it uses less digits than its factorization.

14240894976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14240894976 in words is "fourteen billion, two hundred forty million, eight hundred ninety-four thousand, nine hundred seventy-six".