11340361968 has 320 divisors, whose sum is σ = 34557788160. Its totient is φ = 3175603200.

The previous prime is 11340361939. The next prime is 11340361973. The reversal of 11340361968 is 86916304311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31588573 + ... + 31588931.

It is an arithmetic number, because the mean of its divisors is an integer number (107993088).

Almost surely, 2^11340361968 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 11340361968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278894080).

11340361968 is an abundant number, since it is smaller than the sum of its proper divisors (23217426192).

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

11340361968 is a wasteful number, since it uses less digits than its factorization.

11340361968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 11340361968 in words is "eleven billion, three hundred forty million, three hundred sixty-one thousand, nine hundred sixty-eight".