114202210304 has 104 divisors (see below), whose sum is σ = 281079734880. Its totient is φ = 45178748928.

The previous prime is 114202210301. The next prime is 114202210349. The reversal of 114202210304 is 403012202411.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114202210301) 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 7 ways as a sum of consecutive naturals, for example, 219542 + ... + 525930.

Almost surely, 2^114202210304 is an apocalyptic number.

114202210304 is a gapful number since it is divisible by the number (14) 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 114202210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140539867440).

114202210304 is an abundant number, since it is smaller than the sum of its proper divisors (166877524576).

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

114202210304 is an equidigital number, since it uses as much as digits as its factorization.

114202210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306433 (or 306411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114202210304 its reverse (403012202411), we get a palindrome (517214412715).

The spelling of 114202210304 in words is "one hundred fourteen billion, two hundred two million, two hundred ten thousand, three hundred four".