4456454546544 has 960 divisors, whose sum is σ = 16560632051712. Its totient is φ = 1002596474880.

The previous prime is 4456454546543. The next prime is 4456454546611.

4456454546544 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456454546543) 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 191 ways as a sum of consecutive naturals, for example, 644272174 + ... + 644279090.

Almost surely, 2^{4456454546544} is an apocalyptic number.

4456454546544 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 4456454546544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280316025856).

4456454546544 is an abundant number, since it is smaller than the sum of its proper divisors (12104177505168).

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

4456454546544 is a wasteful number, since it uses less digits than its factorization.

4456454546544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7029 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 60.

The spelling of 4456454546544 in words is "four trillion, four hundred fifty-six billion, four hundred fifty-four million, five hundred forty-six thousand, five hundred forty-four".