114411144204 has 216 divisors, whose sum is σ = 339050650848. Its totient is φ = 31860449280.

The previous prime is 114411144193. The next prime is 114411144313. The reversal of 114411144204 is 402441114411.

114411144204 is a `hidden beast` number, since 1 + 1 + 4 + 411 + 1 + 44 + 204 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 173087634 + ... + 173088294.

Almost surely, 2^114411144204 is an apocalyptic number.

114411144204 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 114411144204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169525325424).

114411144204 is an abundant number, since it is smaller than the sum of its proper divisors (224639506644).

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

114411144204 is a wasteful number, since it uses less digits than its factorization.

114411144204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 114411144204 its reverse (402441114411), we get a palindrome (516852258615).

The spelling of 114411144204 in words is "one hundred fourteen billion, four hundred eleven million, one hundred forty-four thousand, two hundred four".