1114413664 has 144 divisors (see below), whose sum is σ = 2869237728. Its totient is φ = 421521408.

The previous prime is 1114413659. The next prime is 1114413689. The reversal of 1114413664 is 4663144111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467644 + ... + 470020.

It is an arithmetic number, because the mean of its divisors is an integer number (19925262).

Almost surely, 2^1114413664 is an apocalyptic number.

1114413664 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 1114413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434618864).

1114413664 is an abundant number, since it is smaller than the sum of its proper divisors (1754824064).

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

1114413664 is a wasteful number, since it uses less digits than its factorization.

1114413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2422 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 1114413664 is about 33382.8348706337. The cubic root of 1114413664 is about 1036.7693335916.

Adding to 1114413664 its reverse (4663144111), we get a palindrome (5777557775).

The spelling of 1114413664 in words is "one billion, one hundred fourteen million, four hundred thirteen thousand, six hundred sixty-four".