4456546456544 has 144 divisors (see below), whose sum is σ = 10887031707552. Its totient is φ = 1758297176064.

The previous prime is 4456546456511. The next prime is 4456546456589.

4456546456544 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13962482 + ... + 14278094.

It is an arithmetic number, because the mean of its divisors is an integer number (75604386858).

Almost surely, 2^{4456546456544} 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 4456546456544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443515853776).

4456546456544 is an abundant number, since it is smaller than the sum of its proper divisors (6430485251008).

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

4456546456544 is a wasteful number, since it uses less digits than its factorization.

4456546456544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316029 (or 316008 counting only the distinct ones).

The product of its digits is 552960000, while the sum is 62.

The spelling of 4456546456544 in words is "four trillion, four hundred fifty-six billion, five hundred forty-six million, four hundred fifty-six thousand, five hundred forty-four".