4456472746544 has 40 divisors (see below), whose sum is σ = 10626973476000. Its totient is φ = 1763000206848.

The previous prime is 4456472746519. The next prime is 4456472746547.

It is a happy number.

4456472746544 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4456472746547) 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 7 ways as a sum of consecutive naturals, for example, 1530380669 + ... + 1530383580.

It is an arithmetic number, because the mean of its divisors is an integer number (265674336900).

Almost surely, 2^{4456472746544} is an apocalyptic number.

It is an amenable number.

4456472746544 is an abundant number, since it is smaller than the sum of its proper divisors (6170500729456).

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

4456472746544 is a wasteful number, since it uses less digits than its factorization.

4456472746544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060764277 (or 3060764271 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 62.

The spelling of 4456472746544 in words is "four trillion, four hundred fifty-six billion, four hundred seventy-two million, seven hundred forty-six thousand, five hundred forty-four".