14200220144032 has 96 divisors (see below), whose sum is σ = 31884311409552. Its totient is φ = 6167240638464.

The previous prime is 14200220144009. The next prime is 14200220144141. The reversal of 14200220144032 is 23044102200241.

14200220144032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11759988752656 + 2440231391376 = 3429284^2 + 1562124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14200220143988 and 14200220144006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37270848 + ... + 37649920.

Almost surely, 2^{14200220144032} 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 14200220144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942155704776).

14200220144032 is an abundant number, since it is smaller than the sum of its proper divisors (17684091265520).

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

14200220144032 is a wasteful number, since it uses less digits than its factorization.

14200220144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384410 (or 384402 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14200220144032 its reverse (23044102200241), we get a palindrome (37244322344273).

The spelling of 14200220144032 in words is "fourteen trillion, two hundred billion, two hundred twenty million, one hundred forty-four thousand, thirty-two".