14101114016 has 24 divisors (see below), whose sum is σ = 30285347904. Its totient is φ = 6409597120.

The previous prime is 14101114007. The next prime is 14101114021. The reversal of 14101114016 is 61041110141.

14101114016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 20029640 + ... + 20030343.

It is an arithmetic number, because the mean of its divisors is an integer number (1261889496).

Almost surely, 2^14101114016 is an apocalyptic number.

14101114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14101114016 is an abundant number, since it is smaller than the sum of its proper divisors (16184233888).

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

14101114016 is a wasteful number, since it uses less digits than its factorization.

14101114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40060004 (or 40059996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 14101114016 its reverse (61041110141), we get a palindrome (75142224157).

The spelling of 14101114016 in words is "fourteen billion, one hundred one million, one hundred fourteen thousand, sixteen".