4430681536864 has 144 divisors (see below), whose sum is σ = 9717964200000. Its totient is φ = 1986689802240.

The previous prime is 4430681536823. The next prime is 4430681536867. The reversal of 4430681536864 is 4686351860344.

It is a super-2 number, since 2×4430681536864² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4430681536799 and 4430681536808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430681536867) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 382048314 + ... + 382059910.

It is an arithmetic number, because the mean of its divisors is an integer number (67485862500).

Almost surely, 2^{4430681536864} is an apocalyptic number.

4430681536864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4430681536864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858982100000).

4430681536864 is an abundant number, since it is smaller than the sum of its proper divisors (5287282663136).

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

4430681536864 is a wasteful number, since it uses less digits than its factorization.

4430681536864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 58.

The spelling of 4430681536864 in words is "four trillion, four hundred thirty billion, six hundred eighty-one million, five hundred thirty-six thousand, eight hundred sixty-four".