4464510717968 has 120 divisors (see below), whose sum is σ = 10294181701632. Its totient is φ = 1869397512192.

The previous prime is 4464510717929. The next prime is 4464510717977. The reversal of 4464510717968 is 8697170154644.

It is a super-2 number, since 2×4464510717968² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4464510717968.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21156305 + ... + 21366287.

Almost surely, 2^{4464510717968} 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 4464510717968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147090850816).

4464510717968 is an abundant number, since it is smaller than the sum of its proper divisors (5829670983664).

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

4464510717968 is a wasteful number, since it uses less digits than its factorization.

4464510717968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210629 (or 210616 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 62.

The spelling of 4464510717968 in words is "four trillion, four hundred sixty-four billion, five hundred ten million, seven hundred seventeen thousand, nine hundred sixty-eight".