663145056 has 336 divisors, whose sum is σ = 2326883328. Its totient is φ = 181958400.

The previous prime is 663145009. The next prime is 663145069. The reversal of 663145056 is 650541366.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×663145056² = 879522730594486272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 663145056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5062111 + ... + 5062241.

It is an arithmetic number, because the mean of its divisors is an integer number (6925248).

Almost surely, 2^663145056 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 663145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163441664).

663145056 is an abundant number, since it is smaller than the sum of its proper divisors (1663738272).

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

663145056 is a wasteful number, since it uses less digits than its factorization.

663145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 663145056 is about 25751.6029792322. The cubic root of 663145056 is about 872.0395431385.

The spelling of 663145056 in words is "six hundred sixty-three million, one hundred forty-five thousand, fifty-six".