14531131424000 has 72 divisors (see below), whose sum is σ = 36198864848328. Its totient is φ = 5812452556800.

The previous prime is 14531131423981. The next prime is 14531131424027. The reversal of 14531131424000 is 42413113541.

14531131424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4508385903616 + 10022745520384 = 2123296^2 + 3165872^2 .

It is a super-2 number, since 2×14531131424000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227016929 + ... + 227080928.

Almost surely, 2^{14531131424000} is an apocalyptic number.

14531131424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14531131424000 is an abundant number, since it is smaller than the sum of its proper divisors (21667733424328).

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

14531131424000 is an frugal number, since it uses more digits than its factorization.

14531131424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454097888 (or 454097864 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 14531131424000 its reverse (42413113541), we get a palindrome (14573544537541).

The spelling of 14531131424000 in words is "fourteen trillion, five hundred thirty-one billion, one hundred thirty-one million, four hundred twenty-four thousand".