2263664187666 has 128 divisors (see below), whose sum is σ = 5820556492800. Its totient is φ = 638715974400.

The previous prime is 2263664187641. The next prime is 2263664187667. The reversal of 2263664187666 is 6667814663622.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2263664187667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87865695 + ... + 87891453.

It is an arithmetic number, because the mean of its divisors is an integer number (45473097600).

Almost surely, 2^{2263664187666} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263664187666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910278246400).

2263664187666 is an abundant number, since it is smaller than the sum of its proper divisors (3556892305134).

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

2263664187666 is a wasteful number, since it uses less digits than its factorization.

2263664187666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28661 (or 28655 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 2263664187666 in words is "two trillion, two hundred sixty-three billion, six hundred sixty-four million, one hundred eighty-seven thousand, six hundred sixty-six".