1233242314344 has 128 divisors (see below), whose sum is σ = 3482818560000. Its totient is φ = 404277984000.

The previous prime is 1233242314321. The next prime is 1233242314379. The reversal of 1233242314344 is 4434132423321.

1233242314344 is a `hidden beast` number, since 1 + 2 + 332 + 4 + 2 + 314 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1233242314299 and 1233242314308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060889 + ... + 3440279.

It is an arithmetic number, because the mean of its divisors is an integer number (27209520000).

Almost surely, 2^{1233242314344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233242314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741409280000).

1233242314344 is an abundant number, since it is smaller than the sum of its proper divisors (2249576245656).

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

1233242314344 is a wasteful number, since it uses less digits than its factorization.

1233242314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379656 (or 379646 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 1233242314344 its reverse (4434132423321), we get a palindrome (5667374737665).

The spelling of 1233242314344 in words is "one trillion, two hundred thirty-three billion, two hundred forty-two million, three hundred fourteen thousand, three hundred forty-four".