14635680444 has 432 divisors, whose sum is σ = 50193561600. Its totient is φ = 3547756800.

The previous prime is 14635680439. The next prime is 14635680469. The reversal of 14635680444 is 44408653641.

14635680444 is a `hidden beast` number, since 1 + 4 + 635 + 6 + 8 + 0 + 4 + 4 + 4 = 666.

14635680444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14635680444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17443777 + ... + 17444615.

It is an arithmetic number, because the mean of its divisors is an integer number (116188800).

Almost surely, 2^14635680444 is an apocalyptic number.

14635680444 is a gapful number since it is divisible by the number (14) 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 14635680444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096780800).

14635680444 is an abundant number, since it is smaller than the sum of its proper divisors (35557881156).

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

14635680444 is a wasteful number, since it uses less digits than its factorization.

14635680444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 14635680444 in words is "fourteen billion, six hundred thirty-five million, six hundred eighty thousand, four hundred forty-four".