114282442325200 has 60 divisors (see below), whose sum is σ = 275350283116300. Its totient is φ = 45581994132480.

The previous prime is 114282442325189. The next prime is 114282442325201. The reversal of 114282442325200 is 2523244282411.

It can be written as a sum of positive squares in 6 ways, for example, as 7772364106816 + 106510078218384 = 2787896^2 + 10320372^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114282442325201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409181469 + ... + 409460668.

Almost surely, 2^{114282442325200} is an apocalyptic number.

114282442325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114282442325200 is an abundant number, since it is smaller than the sum of its proper divisors (161067840791100).

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

114282442325200 is a wasteful number, since it uses less digits than its factorization.

114282442325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818642504 (or 818642493 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 114282442325200 in words is "one hundred fourteen trillion, two hundred eighty-two billion, four hundred forty-two million, three hundred twenty-five thousand, two hundred".