1114014000 has 160 divisors (see below), whose sum is σ = 3918320640. Its totient is φ = 270048000.

The previous prime is 1114013983. The next prime is 1114014001. The reversal of 1114014000 is 4104111.

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

It is not an unprimeable number, because it can be changed into a prime (1114014001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57561 + ... + 74439.

It is an arithmetic number, because the mean of its divisors is an integer number (24489504).

Almost surely, 2^1114014000 is an apocalyptic number.

1114014000 is a gapful number since it is divisible by the number (10) 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 1114014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959160320).

1114014000 is an abundant number, since it is smaller than the sum of its proper divisors (2804306640).

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

1114014000 is a wasteful number, since it uses less digits than its factorization.

1114014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1114014000 is about 33376.8482634295. The cubic root of 1114014000 is about 1036.6453793437.

Adding to 1114014000 its reverse (4104111), we get a palindrome (1118118111).

The spelling of 1114014000 in words is "one billion, one hundred fourteen million, fourteen thousand".