14151018816 has 560 divisors, whose sum is σ = 49612052160. Its totient is φ = 3941498880.

The previous prime is 14151018803. The next prime is 14151018821. The reversal of 14151018816 is 61881015141.

14151018816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 40087696 + ... + 40088048.

Almost surely, 2^14151018816 is an apocalyptic number.

14151018816 is a gapful number since it is divisible by the number (16) 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 14151018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24806026080).

14151018816 is an abundant number, since it is smaller than the sum of its proper divisors (35461033344).

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

14151018816 is a wasteful number, since it uses less digits than its factorization.

14151018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

The spelling of 14151018816 in words is "fourteen billion, one hundred fifty-one million, eighteen thousand, eight hundred sixteen".