11833141600 has 144 divisors (see below), whose sum is σ = 33083382528. Its totient is φ = 4048611840.

The previous prime is 11833141597. The next prime is 11833141609. The reversal of 11833141600 is 614133811.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11833141609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3061269 + ... + 3065131.

It is an arithmetic number, because the mean of its divisors is an integer number (229745712).

Almost surely, 2^11833141600 is an apocalyptic number.

11833141600 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 11833141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541691264).

11833141600 is an abundant number, since it is smaller than the sum of its proper divisors (21250240928).

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

11833141600 is a wasteful number, since it uses less digits than its factorization.

11833141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 11833141600 in words is "eleven billion, eight hundred thirty-three million, one hundred forty-one thousand, six hundred".