14457144450 has 96 divisors (see below), whose sum is σ = 41022552960. Its totient is φ = 3300710400.

The previous prime is 14457144413. The next prime is 14457144451. The reversal of 14457144450 is 5444175441.

It is a junction number, because it is equal to n+sod(n) for n = 14457144399 and 14457144408.

It is not an unprimeable number, because it can be changed into a prime (14457144451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968040 + ... + 982860.

It is an arithmetic number, because the mean of its divisors is an integer number (427318260).

Almost surely, 2^14457144450 is an apocalyptic number.

14457144450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14457144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20511276480).

14457144450 is an abundant number, since it is smaller than the sum of its proper divisors (26565408510).

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

14457144450 is a wasteful number, since it uses less digits than its factorization.

14457144450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15772 (or 15767 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The spelling of 14457144450 in words is "fourteen billion, four hundred fifty-seven million, one hundred forty-four thousand, four hundred fifty".