114350312000 has 112 divisors (see below), whose sum is σ = 290096417520. Its totient is φ = 44624384000.

The previous prime is 114350311993. The next prime is 114350312017. The reversal of 114350312000 is 213053411.

It can be written as a sum of positive squares in 8 ways, for example, as 29608773184 + 84741538816 = 172072^2 + 291104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 153686 + ... + 502314.

It is an arithmetic number, because the mean of its divisors is an integer number (2590146585).

Almost surely, 2^114350312000 is an apocalyptic number.

114350312000 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 114350312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145048208760).

114350312000 is an abundant number, since it is smaller than the sum of its proper divisors (175746105520).

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

114350312000 is an equidigital number, since it uses as much as digits as its factorization.

114350312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348697 (or 348677 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 114350312000 its reverse (213053411), we get a palindrome (114563365411).

The spelling of 114350312000 in words is "one hundred fourteen billion, three hundred fifty million, three hundred twelve thousand".