1114000032 has 96 divisors (see below), whose sum is σ = 3065610240. Its totient is φ = 353534720.

The previous prime is 1114000007. The next prime is 1114000037. The reversal of 1114000032 is 2300004111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1113999981 and 1114000017.

It is not an unprimeable number, because it can be changed into a prime (1114000037) 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 15 ways as a sum of consecutive naturals, for example, 526657 + ... + 528767.

It is an arithmetic number, because the mean of its divisors is an integer number (31933440).

Almost surely, 2^1114000032 is an apocalyptic number.

1114000032 is a gapful number since it is divisible by the number (12) 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 1114000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532805120).

1114000032 is an abundant number, since it is smaller than the sum of its proper divisors (1951610208).

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

1114000032 is a wasteful number, since it uses less digits than its factorization.

1114000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1114000032 is about 33376.6390159345. The cubic root of 1114000032 is about 1036.6410466862.

Adding to 1114000032 its reverse (2300004111), we get a palindrome (3414004143).

The spelling of 1114000032 in words is "one billion, one hundred fourteen million, thirty-two", and thus it is an aban number.