14445554400 has 216 divisors, whose sum is σ = 51513265440. Its totient is φ = 3808696320.

The previous prime is 14445554351. The next prime is 14445554407. The reversal of 14445554400 is 445554441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14445554407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 629529 + ... + 652071.

It is an arithmetic number, because the mean of its divisors is an integer number (238487340).

Almost surely, 2^14445554400 is an apocalyptic number.

14445554400 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 14445554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756632720).

14445554400 is an abundant number, since it is smaller than the sum of its proper divisors (37067711040).

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

14445554400 is a wasteful number, since it uses less digits than its factorization.

14445554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22658 (or 22642 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 14445554400 in words is "fourteen billion, four hundred forty-five million, five hundred fifty-four thousand, four hundred".