114747768 has 48 divisors (see below), whose sum is σ = 313812720. Its totient is φ = 37875456.

The previous prime is 114747761. The next prime is 114747781. The reversal of 114747768 is 867747411.

114747768 is a `hidden beast` number, since 114 + 7 + 477 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114747761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321 + ... + 15152.

It is an arithmetic number, because the mean of its divisors is an integer number (6537765).

Almost surely, 2^114747768 is an apocalyptic number.

114747768 is a gapful number since it is divisible by the number (18) 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 114747768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156906360).

114747768 is an abundant number, since it is smaller than the sum of its proper divisors (199064952).

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

114747768 is a wasteful number, since it uses less digits than its factorization.

114747768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15588 (or 15581 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 114747768 is about 10712.0384614694. The cubic root of 114747768 is about 485.9386194899.

The spelling of 114747768 in words is "one hundred fourteen million, seven hundred forty-seven thousand, seven hundred sixty-eight".