2263313664000 has 576 divisors, whose sum is σ = 8460388984320. Its totient is φ = 603533721600.

The previous prime is 2263313663987. The next prime is 2263313664047. The reversal of 2263313664000 is 4663133622.

2263313664000 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 3 + 1 + 3 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62189809 + ... + 62226191.

It is an arithmetic number, because the mean of its divisors is an integer number (14688175320).

Almost surely, 2^{2263313664000} is an apocalyptic number.

2263313664000 is a gapful number since it is divisible by the number (20) 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 2263313664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230194492160).

2263313664000 is an abundant number, since it is smaller than the sum of its proper divisors (6197075320320).

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

2263313664000 is an frugal number, since it uses more digits than its factorization.

2263313664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36435 (or 36393 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 2263313664000 its reverse (4663133622), we get a palindrome (2267976797622).

The spelling of 2263313664000 in words is "two trillion, two hundred sixty-three billion, three hundred thirteen million, six hundred sixty-four thousand".