14049978368832 has 784 divisors, whose sum is σ = 51910427852800. Its totient is φ = 3680273802240.

The previous prime is 14049978368827. The next prime is 14049978368849. The reversal of 14049978368832 is 23886387994041.

14049978368832 is a `hidden beast` number, since 1 + 4 + 0 + 499 + 78 + 3 + 68 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 192326169 + ... + 192399207.

Almost surely, 2^{14049978368832} is an apocalyptic number.

14049978368832 is a gapful number since it is divisible by the number (12) 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 14049978368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25955213926400).

14049978368832 is an abundant number, since it is smaller than the sum of its proper divisors (37860449483968).

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

14049978368832 is an equidigital number, since it uses as much as digits as its factorization.

14049978368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73126 (or 73101 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 14049978368832 in words is "fourteen trillion, forty-nine billion, nine hundred seventy-eight million, three hundred sixty-eight thousand, eight hundred thirty-two".