1114133344300 has 72 divisors (see below), whose sum is σ = 2497485900672. Its totient is φ = 430961664000.

The previous prime is 1114133344271. The next prime is 1114133344343. The reversal of 1114133344300 is 34433314111.

It is a super-2 number, since 2×1114133344300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4125420 + ... + 4387180.

It is an arithmetic number, because the mean of its divisors is an integer number (34687304176).

Almost surely, 2^{1114133344300} is an apocalyptic number.

1114133344300 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 1114133344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248742950336).

1114133344300 is an abundant number, since it is smaller than the sum of its proper divisors (1383352556372).

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

1114133344300 is a wasteful number, since it uses less digits than its factorization.

1114133344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263179 (or 263172 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1114133344300 its reverse (34433314111), we get a palindrome (1148566658411).

The spelling of 1114133344300 in words is "one trillion, one hundred fourteen billion, one hundred thirty-three million, three hundred forty-four thousand, three hundred".