14321691384 has 288 divisors, whose sum is σ = 49207616640. Its totient is φ = 3433248000.

The previous prime is 14321691379. The next prime is 14321691403. The reversal of 14321691384 is 48319612341.

It is a super-3 number, since 3×14321691384³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 71 ways as a sum of consecutive naturals, for example, 2182909 + ... + 2189459.

It is an arithmetic number, because the mean of its divisors is an integer number (170859780).

Almost surely, 2^14321691384 is an apocalyptic number.

14321691384 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 14321691384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24603808320).

14321691384 is an abundant number, since it is smaller than the sum of its proper divisors (34885925256).

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

14321691384 is a wasteful number, since it uses less digits than its factorization.

14321691384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6587 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 14321691384 in words is "fourteen billion, three hundred twenty-one million, six hundred ninety-one thousand, three hundred eighty-four".