114254245200 has 120 divisors (see below), whose sum is σ = 366316839936. Its totient is φ = 30440960000.

The previous prime is 114254245181. The next prime is 114254245207. The reversal of 114254245200 is 2542452411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×114254245200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114254245207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339840 + ... + 1422560.

Almost surely, 2^114254245200 is an apocalyptic number.

114254245200 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 114254245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183158419968).

114254245200 is an abundant number, since it is smaller than the sum of its proper divisors (252062594736).

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

114254245200 is a wasteful number, since it uses less digits than its factorization.

114254245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83893 (or 83882 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 114254245200 its reverse (2542452411), we get a palindrome (116796697611).

The spelling of 114254245200 in words is "one hundred fourteen billion, two hundred fifty-four million, two hundred forty-five thousand, two hundred".