14408874144 has 324 divisors, whose sum is σ = 50648160654. Its totient is φ = 3873558528.

The previous prime is 14408874113. The next prime is 14408874191. The reversal of 14408874144 is 44147880441.

It can be written as a sum of positive squares in 3 ways, for example, as 14328090000 + 80784144 = 119700^2 + 8988^2 .

It is a super-3 number, since 3×14408874144³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14408874144.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4076602 + ... + 4080134.

Almost surely, 2^14408874144 is an apocalyptic number.

14408874144 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 14408874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25324080327).

14408874144 is an abundant number, since it is smaller than the sum of its proper divisors (36239286510).

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

14408874144 is a wasteful number, since it uses less digits than its factorization.

14408874144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 14408874144 in words is "fourteen billion, four hundred eight million, eight hundred seventy-four thousand, one hundred forty-four".