546543181345645 has 96 divisors (see below), whose sum is σ = 767650449252960. Its totient is φ = 371973198643200.

The previous prime is 546543181345589. The next prime is 546543181345663.

It is a happy number.

546543181345645 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 517888968466276 + 28654212879369 = 22757174^2 + 5352963^2 .

It is not a de Polignac number, because 546543181345645 - 2³¹ = 546541033861997 is a prime.

It is a super-3 number, since 3×546543181345645³ (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, 12385102941 + ... + 12385147069.

It is an arithmetic number, because the mean of its divisors is an integer number (7996358846385).

Almost surely, 2^{546543181345645} is an apocalyptic number.

546543181345645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

546543181345645 is a deficient number, since it is larger than the sum of its proper divisors (221107267907315).

546543181345645 is a wasteful number, since it uses less digits than its factorization.

546543181345645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51007 (or 50996 counting only the distinct ones).

The product of its digits is 414720000, while the sum is 64.

The spelling of 546543181345645 in words is "five hundred forty-six trillion, five hundred forty-three billion, one hundred eighty-one million, three hundred forty-five thousand, six hundred forty-five".