4456591104 has 144 divisors (see below), whose sum is σ = 13886772480. Its totient is φ = 1242193920.

The previous prime is 4456591033. The next prime is 4456591109. The reversal of 4456591104 is 4011956544.

It is a super-2 number, since 2×4456591104² = 39722408536503877632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456591109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210307 + ... + 230525.

It is an arithmetic number, because the mean of its divisors is an integer number (96435920).

Almost surely, 2^4456591104 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 4456591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943386240).

4456591104 is an abundant number, since it is smaller than the sum of its proper divisors (9430181376).

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

4456591104 is a wasteful number, since it uses less digits than its factorization.

4456591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20286 (or 20272 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 4456591104 is about 66757.7044542426. The cubic root of 4456591104 is about 1645.6378323721.

The spelling of 4456591104 in words is "four billion, four hundred fifty-six million, five hundred ninety-one thousand, one hundred four".