114226021104 has 480 divisors, whose sum is σ = 349965100800. Its totient is φ = 31964774400.

The previous prime is 114226021081. The next prime is 114226021183. The reversal of 114226021104 is 401120622411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 821769867 + ... + 821770005.

It is an arithmetic number, because the mean of its divisors is an integer number (729093960).

Almost surely, 2^114226021104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114226021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174982550400).

114226021104 is an abundant number, since it is smaller than the sum of its proper divisors (235739079696).

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

114226021104 is a wasteful number, since it uses less digits than its factorization.

114226021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114226021104 its reverse (401120622411), we get a palindrome (515346643515).

The spelling of 114226021104 in words is "one hundred fourteen billion, two hundred twenty-six million, twenty-one thousand, one hundred four".