11617841664000 has 2496 divisors, whose sum is σ = 51103416768768. Its totient is φ = 2595815424000.

The previous prime is 11617841663993. The next prime is 11617841664049. The reversal of 11617841664000 is 46614871611.

11617841664000 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 7 + 84 + 166 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 17791487674 + ... + 17791488326.

It is an arithmetic number, because the mean of its divisors is an integer number (20474125308).

Almost surely, 2^{11617841664000} is an apocalyptic number.

11617841664000 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 11617841664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551708384384).

11617841664000 is an abundant number, since it is smaller than the sum of its proper divisors (39485575104768).

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

11617841664000 is an equidigital number, since it uses as much as digits as its factorization.

11617841664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11617841664000 in words is "eleven trillion, six hundred seventeen billion, eight hundred forty-one million, six hundred sixty-four thousand".