1114133344000 has 576 divisors, whose sum is σ = 2977105622400. Its totient is φ = 414793728000.

The previous prime is 1114133343991. The next prime is 1114133344001. The reversal of 1114133344000 is 4433314111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114133344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2864095806 + ... + 2864096194.

It is an arithmetic number, because the mean of its divisors is an integer number (5168586150).

Almost surely, 2^{1114133344000} is an apocalyptic number.

1114133344000 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 1114133344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488552811200).

1114133344000 is an abundant number, since it is smaller than the sum of its proper divisors (1862972278400).

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

1114133344000 is an equidigital number, since it uses as much as digits as its factorization.

1114133344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1114133344000 its reverse (4433314111), we get a palindrome (1118566658111).

The spelling of 1114133344000 in words is "one trillion, one hundred fourteen billion, one hundred thirty-three million, three hundred forty-four thousand".