14098385664 has 324 divisors, whose sum is σ = 46360008968. Its totient is φ = 4269957120.

The previous prime is 14098385659. The next prime is 14098385713. The reversal of 14098385664 is 46658389041.

14098385664 is a `hidden beast` number, since 1 + 40 + 9 + 8 + 38 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14098385664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7526232 + ... + 7528104.

Almost surely, 2^14098385664 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 14098385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23180004484).

14098385664 is an abundant number, since it is smaller than the sum of its proper divisors (32261623304).

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

14098385664 is an equidigital number, since it uses as much as digits as its factorization.

14098385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14098385664 in words is "fourteen billion, ninety-eight million, three hundred eighty-five thousand, six hundred sixty-four".