5456672766545 has 72 divisors (see below), whose sum is σ = 9016519298472. Its totient is φ = 3139903388160.

The previous prime is 5456672766539. The next prime is 5456672766553.

5456672766545 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 221124717121 + 5235548049424 = 470239^2 + 2288132^2 .

It is not a de Polignac number, because 5456672766545 - 2³² = 5452377799249 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6694124 + ... + 7464893.

It is an arithmetic number, because the mean of its divisors is an integer number (125229434701).

Almost surely, 2^{5456672766545} is an apocalyptic number.

5456672766545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5456672766545 is a deficient number, since it is larger than the sum of its proper divisors (3559846531927).

5456672766545 is a wasteful number, since it uses less digits than its factorization.

5456672766545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14159071 (or 14159053 counting only the distinct ones).

The product of its digits is 1270080000, while the sum is 68.

The spelling of 5456672766545 in words is "five trillion, four hundred fifty-six billion, six hundred seventy-two million, seven hundred sixty-six thousand, five hundred forty-five".