11513319246 has 192 divisors, whose sum is σ = 30161424384. Its totient is φ = 3128025600.

The previous prime is 11513319221. The next prime is 11513319263. The reversal of 11513319246 is 64291331511.

11513319246 is a `hidden beast` number, since 11 + 513 + 3 + 1 + 92 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11513319246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13340611 + ... + 13341473.

It is an arithmetic number, because the mean of its divisors is an integer number (157090752).

Almost surely, 2^11513319246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11513319246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080712192).

11513319246 is an abundant number, since it is smaller than the sum of its proper divisors (18648105138).

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

11513319246 is a wasteful number, since it uses less digits than its factorization.

11513319246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1036 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 11513319246 in words is "eleven billion, five hundred thirteen million, three hundred nineteen thousand, two hundred forty-six".