14395084704 has 864 divisors, whose sum is σ = 58013190144. Its totient is φ = 3281541120.

The previous prime is 14395084661. The next prime is 14395084709. The reversal of 14395084704 is 40748059341.

It is a self number, because there is not a number n which added to its sum of digits gives 14395084704.

It is not an unprimeable number, because it can be changed into a prime (14395084709) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86198029 + ... + 86198195.

It is an arithmetic number, because the mean of its divisors is an integer number (67144896).

Almost surely, 2^14395084704 is an apocalyptic number.

14395084704 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 14395084704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29006595072).

14395084704 is an abundant number, since it is smaller than the sum of its proper divisors (43618105440).

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

14395084704 is a wasteful number, since it uses less digits than its factorization.

14395084704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14395084704 in words is "fourteen billion, three hundred ninety-five million, eighty-four thousand, seven hundred four".