14121553008 has 160 divisors (see below), whose sum is σ = 39793008640. Its totient is φ = 4298883840.

The previous prime is 14121552967. The next prime is 14121553021. The reversal of 14121553008 is 80035512141.

14121553008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8678691 + ... + 8680317.

It is an arithmetic number, because the mean of its divisors is an integer number (248706304).

Almost surely, 2^14121553008 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 14121553008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896504320).

14121553008 is an abundant number, since it is smaller than the sum of its proper divisors (25671455632).

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

14121553008 is a wasteful number, since it uses less digits than its factorization.

14121553008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 14121553008 in words is "fourteen billion, one hundred twenty-one million, five hundred fifty-three thousand, eight".