14143761408 has 352 divisors, whose sum is σ = 45485977600. Its totient is φ = 3901685760.

The previous prime is 14143761389. The next prime is 14143761449. The reversal of 14143761408 is 80416734141.

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 31 ways as a sum of consecutive naturals, for example, 32664360 + ... + 32664792.

Almost surely, 2^14143761408 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 14143761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22742988800).

14143761408 is an abundant number, since it is smaller than the sum of its proper divisors (31342216192).

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

14143761408 is an equidigital number, since it uses as much as digits as its factorization.

14143761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 14143761408 in words is "fourteen billion, one hundred forty-three million, seven hundred sixty-one thousand, four hundred eight".