6403114566 has 96 divisors (see below), whose sum is σ = 15567552000. Its totient is φ = 1892136960.

The previous prime is 6403114541. The next prime is 6403114577. The reversal of 6403114566 is 6654113046.

It is a happy number.

6403114566 is a `hidden beast` number, since 64 + 0 + 31 + 1 + 4 + 566 = 666.

It is a super-2 number, since 2×6403114566² = 81999752290642736712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6403114566.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 355035 + ... + 372633.

It is an arithmetic number, because the mean of its divisors is an integer number (162162000).

Almost surely, 2^6403114566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403114566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776000).

6403114566 is an abundant number, since it is smaller than the sum of its proper divisors (9164437434).

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

6403114566 is a wasteful number, since it uses less digits than its factorization.

6403114566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6403114566 is about 80019.4636697847. The cubic root of 6403114566 is about 1856.9366624098.

The spelling of 6403114566 in words is "six billion, four hundred three million, one hundred fourteen thousand, five hundred sixty-six".