14206536960 has 576 divisors, whose sum is σ = 59055575040. Its totient is φ = 2822307840.

The previous prime is 14206536947. The next prime is 14206536991. The reversal of 14206536960 is 6963560241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 6799596 + ... + 6801684.

It is an arithmetic number, because the mean of its divisors is an integer number (102527040).

Almost surely, 2^14206536960 is an apocalyptic number.

14206536960 is a gapful number since it is divisible by the number (10) 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 14206536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29527787520).

14206536960 is an abundant number, since it is smaller than the sum of its proper divisors (44849038080).

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

14206536960 is a wasteful number, since it uses less digits than its factorization.

14206536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 14206536960 in words is "fourteen billion, two hundred six million, five hundred thirty-six thousand, nine hundred sixty".