1142313313344 has 112 divisors (see below), whose sum is σ = 3455349350400. Its totient is φ = 326260763136.

The previous prime is 1142313313319. The next prime is 1142313313363. The reversal of 1142313313344 is 4433133132411.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3721767 + ... + 4016985.

Almost surely, 2^{1142313313344} is an apocalyptic number.

1142313313344 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 1142313313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727674675200).

1142313313344 is an abundant number, since it is smaller than the sum of its proper divisors (2313036037056).

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

1142313313344 is a wasteful number, since it uses less digits than its factorization.

1142313313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298120 (or 298110 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 1142313313344 its reverse (4433133132411), we get a palindrome (5575446445755).

The spelling of 1142313313344 in words is "one trillion, one hundred forty-two billion, three hundred thirteen million, three hundred thirteen thousand, three hundred forty-four".