14348661984 has 288 divisors, whose sum is σ = 44645852160. Its totient is φ = 4354560000.

The previous prime is 14348661961. The next prime is 14348662043. The reversal of 14348661984 is 48916684341.

14348661984 is a `hidden beast` number, since 14 + 3 + 4 + 8 + 6 + 619 + 8 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 14348661984.

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 47 ways as a sum of consecutive naturals, for example, 42577464 + ... + 42577800.

It is an arithmetic number, because the mean of its divisors is an integer number (155020320).

Almost surely, 2^14348661984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14348661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22322926080).

14348661984 is an abundant number, since it is smaller than the sum of its proper divisors (30297190176).

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

14348661984 is a wasteful number, since it uses less digits than its factorization.

14348661984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 14348661984 in words is "fourteen billion, three hundred forty-eight million, six hundred sixty-one thousand, nine hundred eighty-four".