2166635433105 has 48 divisors (see below), whose sum is σ = 4412057622336. Its totient is φ = 969682988160.

The previous prime is 2166635433103. The next prime is 2166635433107. The reversal of 2166635433105 is 5013345366612.

It is an interprime number because it is at equal distance from previous prime (2166635433103) and next prime (2166635433107).

It is not a de Polignac number, because 2166635433105 - 2¹ = 2166635433103 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2166635433103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168341307 + ... + 168354176.

It is an arithmetic number, because the mean of its divisors is an integer number (91917867132).

Almost surely, 2^{2166635433105} is an apocalyptic number.

It is an amenable number.

2166635433105 is an abundant number, since it is smaller than the sum of its proper divisors (2245422189231).

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

2166635433105 is a wasteful number, since it uses less digits than its factorization.

2166635433105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336695518 (or 336695515 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 2166635433105 in words is "two trillion, one hundred sixty-six billion, six hundred thirty-five million, four hundred thirty-three thousand, one hundred five".