11141461500 has 192 divisors, whose sum is σ = 35291797632. Its totient is φ = 2714880000.

The previous prime is 11141461489. The next prime is 11141461537. The reversal of 11141461500 is 516414111.

11141461500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1966672 + ... + 1972328.

It is an arithmetic number, because the mean of its divisors is an integer number (183811446).

Almost surely, 2^11141461500 is an apocalyptic number.

11141461500 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 11141461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645898816).

11141461500 is an abundant number, since it is smaller than the sum of its proper divisors (24150336132).

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

11141461500 is a wasteful number, since it uses less digits than its factorization.

11141461500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11141461500 its reverse (516414111), we get a palindrome (11657875611).

The spelling of 11141461500 in words is "eleven billion, one hundred forty-one million, four hundred sixty-one thousand, five hundred".