11541413000 has 128 divisors (see below), whose sum is σ = 29160069120. Its totient is φ = 4250361600.

The previous prime is 11541412943. The next prime is 11541413047. The reversal of 11541413000 is 31414511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6330089 + ... + 6331911.

It is an arithmetic number, because the mean of its divisors is an integer number (227813040).

Almost surely, 2^11541413000 is an apocalyptic number.

11541413000 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 11541413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580034560).

11541413000 is an abundant number, since it is smaller than the sum of its proper divisors (17618656120).

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

11541413000 is a wasteful number, since it uses less digits than its factorization.

11541413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11541413000 its reverse (31414511), we get a palindrome (11572827511).

The spelling of 11541413000 in words is "eleven billion, five hundred forty-one million, four hundred thirteen thousand".