114824466 has 80 divisors (see below), whose sum is σ = 266587200. Its totient is φ = 36923040.

The previous prime is 114824461. The next prime is 114824473. The reversal of 114824466 is 664428411.

It is a happy number.

114824466 is a `hidden beast` number, since 114 + 82 + 4 + 466 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114824466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114824461) 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 39 ways as a sum of consecutive naturals, for example, 770560 + ... + 770708.

It is an arithmetic number, because the mean of its divisors is an integer number (3332340).

Almost surely, 2^114824466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114824466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

114824466 is an abundant number, since it is smaller than the sum of its proper divisors (151762734).

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

114824466 is a wasteful number, since it uses less digits than its factorization.

114824466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 114824466 is about 10715.6178543283. The cubic root of 114824466 is about 486.0468633365.

The spelling of 114824466 in words is "one hundred fourteen million, eight hundred twenty-four thousand, four hundred sixty-six".