546544565445645 has 96 divisors (see below), whose sum is σ = 1030452878538720. Its totient is φ = 266369094604800.

The previous prime is 546544565445523. The next prime is 546544565445707.

546544565445645 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 4 + 4 + 5 + 6 + 54 + 4 + 564 + 5 = 666.

546544565445645 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 147442176324 + 546397123269321 = 383982^2 + 23375139^2 .

It is not a de Polignac number, because 546544565445645 - 2⁷ = 546544565445517 is a prime.

It is a super-3 number, since 3×546544565445645³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452519779 + ... + 453725951.

It is an arithmetic number, because the mean of its divisors is an integer number (10733884151445).

Almost surely, 2^{546544565445645} is an apocalyptic number.

It is an amenable number.

546544565445645 is a deficient number, since it is larger than the sum of its proper divisors (483908313093075).

546544565445645 is a wasteful number, since it uses less digits than its factorization.

546544565445645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213967 (or 1213964 counting only the distinct ones).

The product of its digits is 13824000000, while the sum is 72.

The spelling of 546544565445645 in words is "five hundred forty-six trillion, five hundred forty-four billion, five hundred sixty-five million, four hundred forty-five thousand, six hundred forty-five".