14869756384 has 144 divisors (see below), whose sum is σ = 36898990128. Its totient is φ = 5857947648.

The previous prime is 14869756361. The next prime is 14869756393. The reversal of 14869756384 is 48365796841.

It is a happy number.

It is a super-2 number, since 2×14869756384² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139722 + ... + 1152694.

It is an arithmetic number, because the mean of its divisors is an integer number (256242987).

Almost surely, 2^14869756384 is an apocalyptic number.

14869756384 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 14869756384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449495064).

14869756384 is an abundant number, since it is smaller than the sum of its proper divisors (22029233744).

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

14869756384 is a wasteful number, since it uses less digits than its factorization.

14869756384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057 (or 13042 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 61.

The spelling of 14869756384 in words is "fourteen billion, eight hundred sixty-nine million, seven hundred fifty-six thousand, three hundred eighty-four".