144543345356400 has 240 divisors, whose sum is σ = 472076395031136. Its totient is φ = 37797125160960.

The previous prime is 144543345356353. The next prime is 144543345356407. The reversal of 144543345356400 is 4653543345441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144543345356407) 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, 10385904 + ... + 19923696.

Almost surely, 2^{144543345356400} is an apocalyptic number.

144543345356400 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 144543345356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236038197515568).

144543345356400 is an abundant number, since it is smaller than the sum of its proper divisors (327533049674736).

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

144543345356400 is a wasteful number, since it uses less digits than its factorization.

144543345356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538060 (or 9538049 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 51.

The spelling of 144543345356400 in words is "one hundred forty-four trillion, five hundred forty-three billion, three hundred forty-five million, three hundred fifty-six thousand, four hundred".