14586093144 has 80 divisors (see below), whose sum is σ = 46690947600. Its totient is φ = 4167453888.

The previous prime is 14586093139. The next prime is 14586093157. The reversal of 14586093144 is 44139068541.

14586093144 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 609 + 31 + 4 + 4 = 666.

14586093144 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 2×14586093144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14586093144.

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 19 ways as a sum of consecutive naturals, for example, 1603279 + ... + 1612350.

It is an arithmetic number, because the mean of its divisors is an integer number (583636845).

Almost surely, 2^14586093144 is an apocalyptic number.

14586093144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14586093144 is an abundant number, since it is smaller than the sum of its proper divisors (32104854456).

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

14586093144 is a wasteful number, since it uses less digits than its factorization.

14586093144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215654 (or 3215641 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14586093144 in words is "fourteen billion, five hundred eighty-six million, ninety-three thousand, one hundred forty-four".