114651768 has 96 divisors (see below), whose sum is σ = 363778560. Its totient is φ = 29776320.

The previous prime is 114651767. The next prime is 114651811. The reversal of 114651768 is 867156411.

It is a super-3 number, since 3×114651768³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) 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 (114651767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8505 + ... + 17367.

It is an arithmetic number, because the mean of its divisors is an integer number (3789360).

Almost surely, 2^114651768 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 114651768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181889280).

114651768 is an abundant number, since it is smaller than the sum of its proper divisors (249126792).

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

114651768 is a wasteful number, since it uses less digits than its factorization.

114651768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8886 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 114651768 is about 10707.5565840205. The cubic root of 114651768 is about 485.8030667503.

The spelling of 114651768 in words is "one hundred fourteen million, six hundred fifty-one thousand, seven hundred sixty-eight".