1114089984 has 320 divisors, whose sum is σ = 3908678400. Its totient is φ = 306561024.

The previous prime is 1114089971. The next prime is 1114089989. The reversal of 1114089984 is 4899804111.

It is not an unprimeable number, because it can be changed into a prime (1114089989) 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 31 ways as a sum of consecutive naturals, for example, 2806074 + ... + 2806470.

It is an arithmetic number, because the mean of its divisors is an integer number (12214620).

Almost surely, 2^1114089984 is an apocalyptic number.

1114089984 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 1114089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954339200).

1114089984 is an abundant number, since it is smaller than the sum of its proper divisors (2794588416).

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

1114089984 is an equidigital number, since it uses as much as digits as its factorization.

1114089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1114089984 is about 33377.9865180631. The cubic root of 1114089984 is about 1036.6689477703.

It can be divided in two parts, 11140 and 89984, that added together give a square (101124 = 318²).

The spelling of 1114089984 in words is "one billion, one hundred fourteen million, eighty-nine thousand, nine hundred eighty-four".