14439681442368 has 672 divisors, whose sum is σ = 53420677390080. Its totient is φ = 3765445263360.

The previous prime is 14439681442327. The next prime is 14439681442397. The reversal of 14439681442368 is 86324418693441.

14439681442368 is a `hidden beast` number, since 1 + 4 + 4 + 396 + 8 + 1 + 4 + 4 + 236 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 125898328 + ... + 126012968.

It is an arithmetic number, because the mean of its divisors is an integer number (79495055640).

Almost surely, 2^{14439681442368} is an apocalyptic number.

14439681442368 is a gapful number since it is divisible by the number (18) 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 14439681442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26710338695040).

14439681442368 is an abundant number, since it is smaller than the sum of its proper divisors (38980995947712).

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

14439681442368 is a wasteful number, since it uses less digits than its factorization.

14439681442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114777 (or 114755 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 14439681442368 in words is "fourteen trillion, four hundred thirty-nine billion, six hundred eighty-one million, four hundred forty-two thousand, three hundred sixty-eight".