14681756512 has 48 divisors (see below), whose sum is σ = 30709772352. Its totient is φ = 6885406720.

The previous prime is 14681756443. The next prime is 14681756521. The reversal of 14681756512 is 21565718641.

14681756512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14681756512² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113337 + ... + 205447.

It is an arithmetic number, because the mean of its divisors is an integer number (639786924).

Almost surely, 2^14681756512 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 14681756512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354886176).

14681756512 is an abundant number, since it is smaller than the sum of its proper divisors (16028015840).

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

14681756512 is a wasteful number, since it uses less digits than its factorization.

14681756512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92431 (or 92423 counting only the distinct ones).

The product of its digits is 403200, while the sum is 46.

The spelling of 14681756512 in words is "fourteen billion, six hundred eighty-one million, seven hundred fifty-six thousand, five hundred twelve".