114041984 has 64 divisors (see below), whose sum is σ = 274959360. Its totient is φ = 45993984.

The previous prime is 114041953. The next prime is 114042011. The reversal of 114041984 is 489140411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×114041984² = 26011148229312512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114041984.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11489 + ... + 18975.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^114041984 is an apocalyptic number.

114041984 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 114041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

114041984 is an abundant number, since it is smaller than the sum of its proper divisors (160917376).

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

114041984 is an equidigital number, since it uses as much as digits as its factorization.

114041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 114041984 is about 10679.0441519829. The cubic root of 114041984 is about 484.9402753536.

The spelling of 114041984 in words is "one hundred fourteen million, forty-one thousand, nine hundred eighty-four".