114444211224213 has 48 divisors (see below), whose sum is σ = 181054540517760. Its totient is φ = 69229868227200.

The previous prime is 114444211224209. The next prime is 114444211224253. The reversal of 114444211224213 is 312422112444411.

114444211224213 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 4 + 211 + 224 + 213 = 666.

It is not a de Polignac number, because 114444211224213 - 2² = 114444211224209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114444211224253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6602568 + ... + 16507038.

It is an arithmetic number, because the mean of its divisors is an integer number (3771969594120).

Almost surely, 2^{114444211224213} is an apocalyptic number.

114444211224213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114444211224213 is a deficient number, since it is larger than the sum of its proper divisors (66610329293547).

114444211224213 is a wasteful number, since it uses less digits than its factorization.

114444211224213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906170 (or 9906167 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 114444211224213 its reverse (312422112444411), we get a palindrome (426866323668624).

The spelling of 114444211224213 in words is "one hundred fourteen trillion, four hundred forty-four billion, two hundred eleven million, two hundred twenty-four thousand, two hundred thirteen".