11613141600 has 288 divisors, whose sum is σ = 39853949184. Its totient is φ = 2931456000.

The previous prime is 11613141599. The next prime is 11613141679. The reversal of 11613141600 is 614131611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5574159 + ... + 5576241.

It is an arithmetic number, because the mean of its divisors is an integer number (138381768).

Almost surely, 2^11613141600 is an apocalyptic number.

11613141600 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 11613141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926974592).

11613141600 is an abundant number, since it is smaller than the sum of its proper divisors (28240807584).

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

11613141600 is a wasteful number, since it uses less digits than its factorization.

11613141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 11613141600 in words is "eleven billion, six hundred thirteen million, one hundred forty-one thousand, six hundred".