114214332031300 has 162 divisors, whose sum is σ = 260416022675438. Its totient is φ = 43476790748160.

The previous prime is 114214332031297. The next prime is 114214332031361. The reversal of 114214332031300 is 3130233412411.

It can be written as a sum of positive squares in 9 ways, for example, as 1606282481664 + 112608049549636 = 1267392^2 + 10611694^2 .

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 53 ways as a sum of consecutive naturals, for example, 2052968284 + ... + 2053023916.

Almost surely, 2^{114214332031300} is an apocalyptic number.

114214332031300 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 114214332031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130208011337719).

114214332031300 is an abundant number, since it is smaller than the sum of its proper divisors (146201690644138).

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

114214332031300 is a wasteful number, since it uses less digits than its factorization.

114214332031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56087 (or 55860 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 114214332031300 its reverse (3130233412411), we get a palindrome (117344565443711).

The spelling of 114214332031300 in words is "one hundred fourteen trillion, two hundred fourteen billion, three hundred thirty-two million, thirty-one thousand, three hundred".