14121534456 has 96 divisors (see below), whose sum is σ = 39604032000. Its totient is φ = 4540338432.

The previous prime is 14121534443. The next prime is 14121534461. The reversal of 14121534456 is 65443512141.

14121534456 is a `hidden beast` number, since 1 + 412 + 153 + 44 + 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 14121534456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2563401 + ... + 2568903.

It is an arithmetic number, because the mean of its divisors is an integer number (412542000).

Almost surely, 2^14121534456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121534456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802016000).

14121534456 is an abundant number, since it is smaller than the sum of its proper divisors (25482497544).

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

14121534456 is a wasteful number, since it uses less digits than its factorization.

14121534456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6766 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 14121534456 in words is "fourteen billion, one hundred twenty-one million, five hundred thirty-four thousand, four hundred fifty-six".