3166563456 has 480 divisors, whose sum is σ = 11481022080. Its totient is φ = 862202880.

The previous prime is 3166563431. The next prime is 3166563487. The reversal of 3166563456 is 6543656613.

3166563456 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 5 + 634 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11684601 + ... + 11684871.

It is an arithmetic number, because the mean of its divisors is an integer number (23918796).

Almost surely, 2^3166563456 is an apocalyptic number.

3166563456 is a gapful number since it is divisible by the number (36) 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 3166563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740511040).

3166563456 is an abundant number, since it is smaller than the sum of its proper divisors (8314458624).

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

3166563456 is a wasteful number, since it uses less digits than its factorization.

3166563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 306 counting only the distinct ones).

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

The square root of 3166563456 is about 56272.2263288027. The cubic root of 3166563456 is about 1468.4620650210.

The spelling of 3166563456 in words is "three billion, one hundred sixty-six million, five hundred sixty-three thousand, four hundred fifty-six".