6166551610656 has 144 divisors (see below), whose sum is σ = 17947701547776. Its totient is φ = 2007294524928.

The previous prime is 6166551610601. The next prime is 6166551610691. The reversal of 6166551610656 is 6560161556616.

6166551610656 is a `hidden beast` number, since 6 + 1 + 6 + 65 + 516 + 1 + 0 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 62155266 + ... + 62254398.

It is an arithmetic number, because the mean of its divisors is an integer number (124636816304).

Almost surely, 2^{6166551610656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6166551610656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973850773888).

6166551610656 is an abundant number, since it is smaller than the sum of its proper divisors (11781149937120).

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

6166551610656 is a wasteful number, since it uses less digits than its factorization.

6166551610656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104215 (or 104204 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 6166551610656 in words is "six trillion, one hundred sixty-six billion, five hundred fifty-one million, six hundred ten thousand, six hundred fifty-six".