14408796160 has 288 divisors, whose sum is σ = 39409788600. Its totient is φ = 5046272000.

The previous prime is 14408796139. The next prime is 14408796163. The reversal of 14408796160 is 6169780441.

It can be written as a sum of positive squares in 4 ways, for example, as 14239171584 + 169624576 = 119328^2 + 13024^2 .

It is a super-2 number, since 2×14408796160² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14408796160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14408796163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35931960 + ... + 35932360.

Almost surely, 2^14408796160 is an apocalyptic number.

14408796160 is a gapful number since it is divisible by the number (10) 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 14408796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704894300).

14408796160 is an abundant number, since it is smaller than the sum of its proper divisors (25000992440).

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

14408796160 is a wasteful number, since it uses less digits than its factorization.

14408796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 14408796160 in words is "fourteen billion, four hundred eight million, seven hundred ninety-six thousand, one hundred sixty".