4461452541644 has 96 divisors (see below), whose sum is σ = 9288516894720. Its totient is φ = 1834763918400.

The previous prime is 4461452541643. The next prime is 4461452541647.

4461452541644 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4461452541592 and 4461452541601.

It is not an unprimeable number, because it can be changed into a prime (4461452541641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212855237 + ... + 212876195.

It is an arithmetic number, because the mean of its divisors is an integer number (96755384320).

Almost surely, 2^{4461452541644} 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 4461452541644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644258447360).

4461452541644 is an abundant number, since it is smaller than the sum of its proper divisors (4827064353076).

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

4461452541644 is a wasteful number, since it uses less digits than its factorization.

4461452541644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23059 (or 23057 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 50.

The spelling of 4461452541644 in words is "four trillion, four hundred sixty-one billion, four hundred fifty-two million, five hundred forty-one thousand, six hundred forty-four".