114132223104 has 128 divisors (see below), whose sum is σ = 304781875200. Its totient is φ = 37841642496.

The previous prime is 114132223099. The next prime is 114132223151. The reversal of 114132223104 is 401322231411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×114132223104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72097897 + ... + 72099479.

It is an arithmetic number, because the mean of its divisors is an integer number (2381108400).

Almost surely, 2^114132223104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114132223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152390937600).

114132223104 is an abundant number, since it is smaller than the sum of its proper divisors (190649652096).

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

114132223104 is a wasteful number, since it uses less digits than its factorization.

114132223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114132223104 its reverse (401322231411), we get a palindrome (515454454515).

The spelling of 114132223104 in words is "one hundred fourteen billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred four".