114306312288 has 192 divisors, whose sum is σ = 345633619968. Its totient is φ = 32401390080.

The previous prime is 114306312277. The next prime is 114306312293. The reversal of 114306312288 is 882213603411.

It is a super-3 number, since 3×114306312288³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59939431 + ... + 59941337.

It is an arithmetic number, because the mean of its divisors is an integer number (1800175104).

Almost surely, 2^114306312288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114306312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172816809984).

114306312288 is an abundant number, since it is smaller than the sum of its proper divisors (231327307680).

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

114306312288 is a wasteful number, since it uses less digits than its factorization.

114306312288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

Adding to 114306312288 its reverse (882213603411), we get a palindrome (996519915699).

The spelling of 114306312288 in words is "one hundred fourteen billion, three hundred six million, three hundred twelve thousand, two hundred eighty-eight".