114332253200 has 240 divisors, whose sum is σ = 314585579520. Its totient is φ = 39549504000.

The previous prime is 114332253199. The next prime is 114332253227. The reversal of 114332253200 is 2352233411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114332253200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8040497 + ... + 8054703.

It is an arithmetic number, because the mean of its divisors is an integer number (1310773248).

Almost surely, 2^114332253200 is an apocalyptic number.

114332253200 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 114332253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157292789760).

114332253200 is an abundant number, since it is smaller than the sum of its proper divisors (200253326320).

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

114332253200 is a wasteful number, since it uses less digits than its factorization.

114332253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14326 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 114332253200 its reverse (2352233411), we get a palindrome (116684486611).

The spelling of 114332253200 in words is "one hundred fourteen billion, three hundred thirty-two million, two hundred fifty-three thousand, two hundred".