541414414145 has 32 divisors (see below), whose sum is σ = 711425151360. Its totient is φ = 392276631040.

The previous prime is 541414414091. The next prime is 541414414147.

541414414145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541414414145 - 2²⁴ = 541397636929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541414414099 and 541414414108.

It is not an unprimeable number, because it can be changed into a prime (541414414147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91159586 + ... + 91165524.

It is an arithmetic number, because the mean of its divisors is an integer number (22232035980).

Almost surely, 2^541414414145 is an apocalyptic number.

541414414145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541414414145 is a deficient number, since it is larger than the sum of its proper divisors (170010737215).

541414414145 is a wasteful number, since it uses less digits than its factorization.

541414414145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905.

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 541414 and 414145, that added together give a palindrome (955559).

The spelling of 541414414145 in words is "five hundred forty-one billion, four hundred fourteen million, four hundred fourteen thousand, one hundred forty-five".