114441331010220 has 72 divisors (see below), whose sum is σ = 347560501238496. Its totient is φ = 30480607199232.

The previous prime is 114441331010213. The next prime is 114441331010221. The reversal of 114441331010220 is 22010133144411.

It is a happy number.

114441331010220 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 413 + 3 + 10 + 10 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (114441331010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386112597 + ... + 386408876.

It is an arithmetic number, because the mean of its divisors is an integer number (4827229183868).

Almost surely, 2^{114441331010220} is an apocalyptic number.

114441331010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114441331010220 is an abundant number, since it is smaller than the sum of its proper divisors (233119170228276).

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

114441331010220 is a wasteful number, since it uses less digits than its factorization.

114441331010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772522311 (or 772522306 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114441331010220 its reverse (22010133144411), we get a palindrome (136451464154631).

The spelling of 114441331010220 in words is "one hundred fourteen trillion, four hundred forty-one billion, three hundred thirty-one million, ten thousand, two hundred twenty".