114211346144 has 48 divisors (see below), whose sum is σ = 257097304800. Its totient is φ = 48924524544.

The previous prime is 114211346141. The next prime is 114211346191. The reversal of 114211346144 is 441643112411.

114211346144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114211346144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114211346141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 357152 + ... + 596640.

It is an arithmetic number, because the mean of its divisors is an integer number (5356193850).

Almost surely, 2^114211346144 is an apocalyptic number.

114211346144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114211346144 is an abundant number, since it is smaller than the sum of its proper divisors (142885958656).

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

114211346144 is a wasteful number, since it uses less digits than its factorization.

114211346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241635 (or 241627 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

Adding to 114211346144 its reverse (441643112411), we get a palindrome (555854458555).

The spelling of 114211346144 in words is "one hundred fourteen billion, two hundred eleven million, three hundred forty-six thousand, one hundred forty-four".