11641383600 has 720 divisors, whose sum is σ = 49209350400. Its totient is φ = 2285107200.

The previous prime is 11641383577. The next prime is 11641383601. The reversal of 11641383600 is 638314611.

11641383600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641383601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 33356226 + ... + 33356574.

It is an arithmetic number, because the mean of its divisors is an integer number (68346320).

Almost surely, 2^11641383600 is an apocalyptic number.

11641383600 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 11641383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24604675200).

11641383600 is an abundant number, since it is smaller than the sum of its proper divisors (37567966800).

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

11641383600 is a wasteful number, since it uses less digits than its factorization.

11641383600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 11641383600 in words is "eleven billion, six hundred forty-one million, three hundred eighty-three thousand, six hundred".