11613000000 has 588 divisors, whose sum is σ = 45243170880. Its totient is φ = 2620800000.

The previous prime is 11612999969. The next prime is 11613000041. The reversal of 11613000000 is 31611.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11613000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 146999961 + ... + 147000039.

Almost surely, 2^11613000000 is an apocalyptic number.

11613000000 is a gapful number since it is divisible by the number (10) 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 11613000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22621585440).

11613000000 is an abundant number, since it is smaller than the sum of its proper divisors (33630170880).

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

11613000000 is an frugal number, since it uses more digits than its factorization.

11613000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11613000000 its reverse (31611), we get a palindrome (11613031611).

The spelling of 11613000000 in words is "eleven billion, six hundred thirteen million", and thus it is an aban number.