4408563716964 has 243 divisors, whose sum is σ = 12697567100491. Its totient is φ = 1288686094080.

The previous prime is 4408563716959. The next prime is 4408563716969. The reversal of 4408563716964 is 4696173658044.

The square root of 4408563716964 is 2099658.

It is a perfect power (a square), and thus also a powerful number.

4408563716964 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 563 + 7 + 1 + 6 + 9 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4408563716959) and next prime (4408563716969).

It can be written as a sum of positive squares in 4 ways, for example, as 171520222500 + 4237043494464 = 414150^2 + 2058408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4408563716969) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4018744864 + ... + 4018745960.

Almost surely, 2^{4408563716964} is an apocalyptic number.

4408563716964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4408563716964 is the 2099658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4408563716964

4408563716964 is an abundant number, since it is smaller than the sum of its proper divisors (8289003383527).

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

4408563716964 is a wasteful number, since it uses less digits than its factorization.

4408563716964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4408563716964 in words is "four trillion, four hundred eight billion, five hundred sixty-three million, seven hundred sixteen thousand, nine hundred sixty-four".