243505255214400 has 168 divisors, whose sum is σ = 799152306574080. Its totient is φ = 64914240061440.

The previous prime is 243505255214387. The next prime is 243505255214407. The reversal of 243505255214400 is 4412552505342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243505255214407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7207057 + ... + 23215343.

Almost surely, 2^{243505255214400} is an apocalyptic number.

243505255214400 is a gapful number since it is divisible by the number (20) 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 243505255214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399576153287040).

243505255214400 is an abundant number, since it is smaller than the sum of its proper divisors (555647051359680).

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

243505255214400 is a wasteful number, since it uses less digits than its factorization.

243505255214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16011481 (or 16011466 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 243505255214400 in words is "two hundred forty-three trillion, five hundred five billion, two hundred fifty-five million, two hundred fourteen thousand, four hundred".