114613884 has 144 divisors (see below), whose sum is σ = 364815360. Its totient is φ = 29473920.

The previous prime is 114613861. The next prime is 114613957. The reversal of 114613884 is 488316411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479437 + ... + 479675.

It is an arithmetic number, because the mean of its divisors is an integer number (2533440).

Almost surely, 2^114613884 is an apocalyptic number.

114613884 is a gapful number since it is divisible by the number (14) 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 114613884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680).

114613884 is an abundant number, since it is smaller than the sum of its proper divisors (250201476).

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

114613884 is a wasteful number, since it uses less digits than its factorization.

114613884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 114613884 is about 10705.7874068188. The cubic root of 114613884 is about 485.7495534286.

The spelling of 114613884 in words is "one hundred fourteen million, six hundred thirteen thousand, eight hundred eighty-four".