114317223144400 has 30 divisors (see below), whose sum is σ = 274647128605382. Its totient is φ = 45726889257600.

The previous prime is 114317223144361. The next prime is 114317223144401. The reversal of 114317223144400 is 4441322713411.

It can be written as a sum of positive squares in 3 ways, for example, as 1878939113536 + 112438284030864 = 1370744^2 + 10603692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114317223144400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114317223144401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142896528531 + ... + 142896529330.

Almost surely, 2^{114317223144400} is an apocalyptic number.

114317223144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114317223144400 is an abundant number, since it is smaller than the sum of its proper divisors (160329905460982).

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

114317223144400 is a wasteful number, since it uses less digits than its factorization.

114317223144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285793057879 (or 285793057868 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

Adding to 114317223144400 its reverse (4441322713411), we get a palindrome (118758545857811).

The spelling of 114317223144400 in words is "one hundred fourteen trillion, three hundred seventeen billion, two hundred twenty-three million, one hundred forty-four thousand, four hundred".