114122344221144 has 128 divisors (see below), whose sum is σ = 383604518476800. Its totient is φ = 30688361464320.

The previous prime is 114122344221037. The next prime is 114122344221157. The reversal of 114122344221144 is 441122443221411.

114122344221144 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 223 + 4 + 422 + 1 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114122344221099 and 114122344221108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2219907852 + ... + 2219959259.

It is an arithmetic number, because the mean of its divisors is an integer number (2996910300600).

Almost surely, 2^{114122344221144} is an apocalyptic number.

114122344221144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114122344221144 is an abundant number, since it is smaller than the sum of its proper divisors (269482174255656).

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

114122344221144 is a wasteful number, since it uses less digits than its factorization.

114122344221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439867150 (or 4439867140 counting only the distinct ones).

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

Adding to 114122344221144 its reverse (441122443221411), we get a palindrome (555244787442555).

The spelling of 114122344221144 in words is "one hundred fourteen trillion, one hundred twenty-two billion, three hundred forty-four million, two hundred twenty-one thousand, one hundred forty-four".