14131155456 has 640 divisors, whose sum is σ = 49418265600. Its totient is φ = 3941498880.

The previous prime is 14131155433. The next prime is 14131155469. The reversal of 14131155456 is 65455113141.

14131155456 is a `hidden beast` number, since 1 + 41 + 3 + 11 + 554 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14131155456.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193577436 + ... + 193577508.

It is an arithmetic number, because the mean of its divisors is an integer number (77216040).

Almost surely, 2^14131155456 is an apocalyptic number.

14131155456 is a gapful number since it is divisible by the number (16) 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 14131155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24709132800).

14131155456 is an abundant number, since it is smaller than the sum of its proper divisors (35287110144).

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

14131155456 is a wasteful number, since it uses less digits than its factorization.

14131155456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

Adding to 14131155456 its reverse (65455113141), we get a palindrome (79586268597).

The spelling of 14131155456 in words is "fourteen billion, one hundred thirty-one million, one hundred fifty-five thousand, four hundred fifty-six".