14434561120656 has 40 divisors (see below), whose sum is σ = 37289423100960. Its totient is φ = 4811502282496.

The previous prime is 14434561120631. The next prime is 14434561120657. The reversal of 14434561120656 is 65602116543441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14434561120657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20186980 + ... + 20889788.

It is an arithmetic number, because the mean of its divisors is an integer number (932235577524).

Almost surely, 2^{14434561120656} is an apocalyptic number.

14434561120656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14434561120656 is an abundant number, since it is smaller than the sum of its proper divisors (22854861980304).

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

14434561120656 is a wasteful number, since it uses less digits than its factorization.

14434561120656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130703 (or 1130697 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 14434561120656 in words is "fourteen trillion, four hundred thirty-four billion, five hundred sixty-one million, one hundred twenty thousand, six hundred fifty-six".