546435534645 has 320 divisors, whose sum is σ = 1331519212800. Its totient is φ = 209603842560.

The previous prime is 546435534587. The next prime is 546435534649.

546435534645 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 3 + 553 + 46 + 45 = 666.

546435534645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 546435534645 - 2⁶ = 546435534581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 546435534591 and 546435534600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546435534649) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 46345411 + ... + 46357199.

It is an arithmetic number, because the mean of its divisors is an integer number (4160997540).

Almost surely, 2^546435534645 is an apocalyptic number.

546435534645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

546435534645 is an abundant number, since it is smaller than the sum of its proper divisors (785083678155).

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

546435534645 is a wasteful number, since it uses less digits than its factorization.

546435534645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11828 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 546435534645 in words is "five hundred forty-six billion, four hundred thirty-five million, five hundred thirty-four thousand, six hundred forty-five".