114444131412 has 96 divisors (see below), whose sum is σ = 292999553280. Its totient is φ = 34555852800.

The previous prime is 114444131407. The next prime is 114444131437. The reversal of 114444131412 is 214131444411.

It is a super-2 number, since 2×114444131412² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114444131412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748289 + ... + 1812567.

It is an arithmetic number, because the mean of its divisors is an integer number (3052078680).

Almost surely, 2^114444131412 is an apocalyptic number.

114444131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114444131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146499776640).

114444131412 is an abundant number, since it is smaller than the sum of its proper divisors (178555421868).

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

114444131412 is a wasteful number, since it uses less digits than its factorization.

114444131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64513 (or 64511 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 114444131412 its reverse (214131444411), we get a palindrome (328575575823).

The spelling of 114444131412 in words is "one hundred fourteen billion, four hundred forty-four million, one hundred thirty-one thousand, four hundred twelve".