541435424534145 has 32 divisors (see below), whose sum is σ = 963909485001600. Its totient is φ = 288358274002752.

The previous prime is 541435424534141. The next prime is 541435424534153.

541435424534145 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 3 + 5 + 42 + 453 + 4 + 145 = 666.

541435424534145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541435424534145 - 2² = 541435424534141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541435424534091 and 541435424534100.

It is not an unprimeable number, because it can be changed into a prime (541435424534141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2828277187 + ... + 2828468616.

It is an arithmetic number, because the mean of its divisors is an integer number (30122171406300).

Almost surely, 2^{541435424534145} is an apocalyptic number.

It is an amenable number.

541435424534145 is a deficient number, since it is larger than the sum of its proper divisors (422474060467455).

541435424534145 is a wasteful number, since it uses less digits than its factorization.

541435424534145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656746526 (or 5656746520 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 54.

The spelling of 541435424534145 in words is "five hundred forty-one trillion, four hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-four thousand, one hundred forty-five".