14327812512 has 288 divisors, whose sum is σ = 45346745808. Its totient is φ = 4262658048.

The previous prime is 14327812511. The next prime is 14327812519. The reversal of 14327812512 is 21521872341.

14327812512 is a `hidden beast` number, since 1 + 4 + 327 + 81 + 251 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10732131216 + 3595681296 = 103596^2 + 59964^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14327812512² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14327812511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40588528 + ... + 40588880.

Almost surely, 2^14327812512 is an apocalyptic number.

14327812512 is a gapful number since it is divisible by the number (12) 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 14327812512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673372904).

14327812512 is an abundant number, since it is smaller than the sum of its proper divisors (31018933296).

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

14327812512 is a wasteful number, since it uses less digits than its factorization.

14327812512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 14327812512 in words is "fourteen billion, three hundred twenty-seven million, eight hundred twelve thousand, five hundred twelve".