114114768 has 80 divisors (see below), whose sum is σ = 309414720. Its totient is φ = 36191232.

The previous prime is 114114757. The next prime is 114114769. The reversal of 114114768 is 867411411.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101055 + ... + 102177.

It is an arithmetic number, because the mean of its divisors is an integer number (3867684).

Almost surely, 2^114114768 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 114114768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154707360).

114114768 is an abundant number, since it is smaller than the sum of its proper divisors (195299952).

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

114114768 is a wasteful number, since it uses less digits than its factorization.

114114768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 114114768 is about 10682.4514040552. The cubic root of 114114768 is about 485.0434197851.

The spelling of 114114768 in words is "one hundred fourteen million, one hundred fourteen thousand, seven hundred sixty-eight".