14131745264736 has 192 divisors, whose sum is σ = 44998568616960. Its totient is φ = 4279116142080.

The previous prime is 14131745264677. The next prime is 14131745264827. The reversal of 14131745264736 is 63746254713141.

14131745264736 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 74 + 526 + 47 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12051550 + ... + 13172066.

It is an arithmetic number, because the mean of its divisors is an integer number (234367544880).

Almost surely, 2^{14131745264736} is an apocalyptic number.

14131745264736 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 14131745264736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499284308480).

14131745264736 is an abundant number, since it is smaller than the sum of its proper divisors (30866823352224).

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

14131745264736 is a wasteful number, since it uses less digits than its factorization.

14131745264736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121874 (or 1121860 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

Adding to 14131745264736 its reverse (63746254713141), we get a palindrome (77877999977877).

The spelling of 14131745264736 in words is "fourteen trillion, one hundred thirty-one billion, seven hundred forty-five million, two hundred sixty-four thousand, seven hundred thirty-six".