6305440012164 has 36 divisors (see below), whose sum is σ = 15953945471100. Its totient is φ = 2099809689600.

The previous prime is 6305440012141. The next prime is 6305440012213. The reversal of 6305440012164 is 4612100445036.

6305440012164 is a `hidden beast` number, since 6 + 30 + 5 + 4 + 400 + 1 + 216 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4558395801600 + 1747044210564 = 2135040^2 + 1321758^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83447037 + ... + 83522564.

It is an arithmetic number, because the mean of its divisors is an integer number (443165151975).

Almost surely, 2^{6305440012164} is an apocalyptic number.

It is an amenable number.

6305440012164 is an abundant number, since it is smaller than the sum of its proper divisors (9648505458936).

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

6305440012164 is a wasteful number, since it uses less digits than its factorization.

6305440012164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166970660 (or 166970655 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 6305440012164 in words is "six trillion, three hundred five billion, four hundred forty million, twelve thousand, one hundred sixty-four".