14214041206452 has 144 divisors (see below), whose sum is σ = 36438321039120. Its totient is φ = 4671406080000.

The previous prime is 14214041206429. The next prime is 14214041206523. The reversal of 14214041206452 is 25460214041241.

14214041206452 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 4 + 0 + 4 + 1 + 2 + 0 + 645 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4209497510436 + 10004543696016 = 2051706^2 + 3162996^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987010452 + ... + 987024852.

It is an arithmetic number, because the mean of its divisors is an integer number (253043896105).

Almost surely, 2^{14214041206452} is an apocalyptic number.

14214041206452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14214041206452 is an abundant number, since it is smaller than the sum of its proper divisors (22224279832668).

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

14214041206452 is a wasteful number, since it uses less digits than its factorization.

14214041206452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15634 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 14214041206452 its reverse (25460214041241), we get a palindrome (39674255247693).

The spelling of 14214041206452 in words is "fourteen trillion, two hundred fourteen billion, forty-one million, two hundred six thousand, four hundred fifty-two".