114684768 has 144 divisors (see below), whose sum is σ = 368005680. Its totient is φ = 34721280.

The previous prime is 114684751. The next prime is 114684781. The reversal of 114684768 is 867486411.

114684768 is a `hidden beast` number, since 114 + 68 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×114684768² = 26305192022427648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103996 + ... + 105092.

It is an arithmetic number, because the mean of its divisors is an integer number (2555595).

Almost surely, 2^114684768 is an apocalyptic number.

114684768 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 114684768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184002840).

114684768 is an abundant number, since it is smaller than the sum of its proper divisors (253320912).

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

114684768 is a wasteful number, since it uses less digits than its factorization.

114684768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 114684768 is about 10709.0974409611. The cubic root of 114684768 is about 485.8496715363.

The spelling of 114684768 in words is "one hundred fourteen million, six hundred eighty-four thousand, seven hundred sixty-eight".