4198563504 has 80 divisors (see below), whose sum is σ = 12061450240. Its totient is φ = 1398358080.

The previous prime is 4198563503. The next prime is 4198563541. The reversal of 4198563504 is 4053658914.

4198563504 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 5 + 635 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4198563504.

It is not an unprimeable number, because it can be changed into a prime (4198563503) 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 15 ways as a sum of consecutive naturals, for example, 632169 + ... + 638775.

It is an arithmetic number, because the mean of its divisors is an integer number (150768128).

Almost surely, 2^4198563504 is an apocalyptic number.

It is an amenable number.

4198563504 is an abundant number, since it is smaller than the sum of its proper divisors (7862886736).

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

4198563504 is a wasteful number, since it uses less digits than its factorization.

4198563504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4198563504 is about 64796.3232290228. The cubic root of 4198563504 is about 1613.2446818912.

The spelling of 4198563504 in words is "four billion, one hundred ninety-eight million, five hundred sixty-three thousand, five hundred four".