2344311116136 has 192 divisors, whose sum is σ = 6998448600000. Its totient is φ = 703024465920.

The previous prime is 2344311116131. The next prime is 2344311116137. The reversal of 2344311116136 is 6316111134432.

2344311116136 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 31 + 1 + 1 + 1 + 613 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 2344311116136.

It is not an unprimeable number, because it can be changed into a prime (2344311116131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 58957990 + ... + 58997738.

It is an arithmetic number, because the mean of its divisors is an integer number (36450253125).

Almost surely, 2^{2344311116136} 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 2344311116136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499224300000).

2344311116136 is an abundant number, since it is smaller than the sum of its proper divisors (4654137483864).

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

2344311116136 is a wasteful number, since it uses less digits than its factorization.

2344311116136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40544 (or 40537 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 2344311116136 in words is "two trillion, three hundred forty-four billion, three hundred eleven million, one hundred sixteen thousand, one hundred thirty-six".