541818818145 has 128 divisors (see below), whose sum is σ = 1116205608960. Its totient is φ = 246448512000.

The previous prime is 541818818131. The next prime is 541818818147.

541818818145 is a `hidden beast` number, since 5 + 418 + 1 + 8 + 8 + 181 + 45 = 666.

541818818145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541818818145 - 2⁵ = 541818818113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541818818091 and 541818818100.

It is not an unprimeable number, because it can be changed into a prime (541818818147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7816690 + ... + 7885700.

It is an arithmetic number, because the mean of its divisors is an integer number (8720356320).

Almost surely, 2^541818818145 is an apocalyptic number.

541818818145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541818818145 is an abundant number, since it is smaller than the sum of its proper divisors (574386790815).

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

541818818145 is a wasteful number, since it uses less digits than its factorization.

541818818145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69364 (or 69358 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 54.

The spelling of 541818818145 in words is "five hundred forty-one billion, eight hundred eighteen million, eight hundred eighteen thousand, one hundred forty-five".