114034502112 has 192 divisors, whose sum is σ = 306709079040. Its totient is φ = 37091016704.

The previous prime is 114034502063. The next prime is 114034502143. The reversal of 114034502112 is 211205430411.

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

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, 443713888 + ... + 443714144.

It is an arithmetic number, because the mean of its divisors is an integer number (1597443120).

Almost surely, 2^114034502112 is an apocalyptic number.

114034502112 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 114034502112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153354539520).

114034502112 is an abundant number, since it is smaller than the sum of its proper divisors (192674576928).

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

114034502112 is a wasteful number, since it uses less digits than its factorization.

114034502112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 114034502112 its reverse (211205430411), we get a palindrome (325239932523).

The spelling of 114034502112 in words is "one hundred fourteen billion, thirty-four million, five hundred two thousand, one hundred twelve".