541635222536145 has 32 divisors (see below), whose sum is σ = 965308326877440. Its totient is φ = 288151739308800.

The previous prime is 541635222536137. The next prime is 541635222536159.

It is a happy number.

541635222536145 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 3 + 52 + 225 + 361 + 4 + 5 = 666.

541635222536145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541635222536145 - 2³ = 541635222536137 is a prime.

It is a super-2 number, since 2×541635222536145² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 541635222536091 and 541635222536100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5002580229 + ... + 5002688498.

It is an arithmetic number, because the mean of its divisors is an integer number (30165885214920).

Almost surely, 2^{541635222536145} is an apocalyptic number.

It is an amenable number.

541635222536145 is a deficient number, since it is larger than the sum of its proper divisors (423673104341295).

541635222536145 is a wasteful number, since it uses less digits than its factorization.

541635222536145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005269142 (or 10005269136 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 541635222536145 in words is "five hundred forty-one trillion, six hundred thirty-five billion, two hundred twenty-two million, five hundred thirty-six thousand, one hundred forty-five".