114444211201020 has 144 divisors (see below), whose sum is σ = 370702495537920. Its totient is φ = 28515576499200.

The previous prime is 114444211201009. The next prime is 114444211201093. The reversal of 114444211201020 is 20102112444411.

114444211201020 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 442 + 11 + 201 + 0 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 353453961 + ... + 353777600.

It is an arithmetic number, because the mean of its divisors is an integer number (2574322885680).

Almost surely, 2^{114444211201020} is an apocalyptic number.

114444211201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114444211201020 is an abundant number, since it is smaller than the sum of its proper divisors (256258284336900).

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

114444211201020 is a wasteful number, since it uses less digits than its factorization.

114444211201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707231636 (or 707231631 counting only the distinct ones).

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

Adding to 114444211201020 its reverse (20102112444411), we get a palindrome (134546323645431).

The spelling of 114444211201020 in words is "one hundred fourteen trillion, four hundred forty-four billion, two hundred eleven million, two hundred one thousand, twenty".