6411145566 has 96 divisors (see below), whose sum is σ = 15519928320. Its totient is φ = 1729294272.

The previous prime is 6411145561. The next prime is 6411145607. The reversal of 6411145566 is 6655411146.

It is a happy number.

It is a super-2 number, since 2×6411145566² = 82205574936882920712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411145561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5897475 + ... + 5898561.

It is an arithmetic number, because the mean of its divisors is an integer number (161665920).

Almost surely, 2^6411145566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6411145566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759964160).

6411145566 is an abundant number, since it is smaller than the sum of its proper divisors (9108782754).

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

6411145566 is a wasteful number, since it uses less digits than its factorization.

6411145566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1507 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 6411145566 is about 80069.6294858419. The cubic root of 6411145566 is about 1857.7126820434.

The spelling of 6411145566 in words is "six billion, four hundred eleven million, one hundred forty-five thousand, five hundred sixty-six".