114334320332204 has 288 divisors, whose sum is σ = 255739430338560. Its totient is φ = 43676994493440.

The previous prime is 114334320332153. The next prime is 114334320332209. The reversal of 114334320332204 is 402233023433411.

It is not an unprimeable number, because it can be changed into a prime (114334320332209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6873936272 + ... + 6873952904.

It is an arithmetic number, because the mean of its divisors is an integer number (887984133120).

Almost surely, 2^{114334320332204} is an apocalyptic number.

114334320332204 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 114334320332204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127869715169280).

114334320332204 is an abundant number, since it is smaller than the sum of its proper divisors (141405110006356).

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

114334320332204 is a wasteful number, since it uses less digits than its factorization.

114334320332204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17141 (or 17108 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 114334320332204 its reverse (402233023433411), we get a palindrome (516567343765615).

The spelling of 114334320332204 in words is "one hundred fourteen trillion, three hundred thirty-four billion, three hundred twenty million, three hundred thirty-two thousand, two hundred four".