11644886801808 has 360 divisors, whose sum is σ = 37051120005120. Its totient is φ = 3407840916480.

The previous prime is 11644886801797. The next prime is 11644886801809. The reversal of 11644886801808 is 80810868844611.

11644886801808 is a `hidden beast` number, since 1 + 1 + 6 + 448 + 8 + 6 + 8 + 0 + 180 + 8 = 666.

11644886801808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11644886801809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47161713 + ... + 47407983.

It is an arithmetic number, because the mean of its divisors is an integer number (102919777792).

Almost surely, 2^{11644886801808} is an apocalyptic number.

11644886801808 is a gapful number since it is divisible by the number (18) 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 11644886801808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525560002560).

11644886801808 is an abundant number, since it is smaller than the sum of its proper divisors (25406233203312).

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

11644886801808 is a wasteful number, since it uses less digits than its factorization.

11644886801808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246407 (or 246385 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 63.

The spelling of 11644886801808 in words is "eleven trillion, six hundred forty-four billion, eight hundred eighty-six million, eight hundred one thousand, eight hundred eight".