114222044313135 has 96 divisors (see below), whose sum is σ = 219764826777600. Its totient is φ = 54411845349120.

The previous prime is 114222044313037. The next prime is 114222044313151. The reversal of 114222044313135 is 531313440222411.

114222044313135 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 204 + 4 + 313 + 135 = 666.

It is not a de Polignac number, because 114222044313135 - 2²⁰ = 114222043264559 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114222044313135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52168021 + ... + 54313409.

It is an arithmetic number, because the mean of its divisors is an integer number (2289216945600).

Almost surely, 2^{114222044313135} is an apocalyptic number.

114222044313135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114222044313135 is a deficient number, since it is larger than the sum of its proper divisors (105542782464465).

114222044313135 is a wasteful number, since it uses less digits than its factorization.

114222044313135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147293 (or 2147290 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 114222044313135 its reverse (531313440222411), we get a palindrome (645535484535546).

The spelling of 114222044313135 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred thirteen thousand, one hundred thirty-five".