11340314496 has 512 divisors, whose sum is σ = 40538880000. Its totient is φ = 3051012096.

The previous prime is 11340314477. The next prime is 11340314497. The reversal of 11340314496 is 69441304311.

11340314496 is a `hidden beast` number, since 1 + 134 + 0 + 31 + 4 + 496 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11340314496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340314497) 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 63 ways as a sum of consecutive naturals, for example, 49520910 + ... + 49521138.

It is an arithmetic number, because the mean of its divisors is an integer number (79177500).

Almost surely, 2^11340314496 is an apocalyptic number.

11340314496 is a gapful number since it is divisible by the number (16) 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 11340314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269440000).

11340314496 is an abundant number, since it is smaller than the sum of its proper divisors (29198565504).

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

11340314496 is a wasteful number, since it uses less digits than its factorization.

11340314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

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

The spelling of 11340314496 in words is "eleven billion, three hundred forty million, three hundred fourteen thousand, four hundred ninety-six".