541436634145 has 32 divisors (see below), whose sum is σ = 747590400000. Its totient is φ = 372299302080.

The previous prime is 541436634139. The next prime is 541436634149.

541436634145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541436634145 - 2¹⁷ = 541436503073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541436634095 and 541436634104.

It is not an unprimeable number, because it can be changed into a prime (541436634149) 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, 2296 + ... + 1040614.

It is an arithmetic number, because the mean of its divisors is an integer number (23362200000).

Almost surely, 2^541436634145 is an apocalyptic number.

541436634145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541436634145 is a deficient number, since it is larger than the sum of its proper divisors (206153765855).

541436634145 is a wasteful number, since it uses less digits than its factorization.

541436634145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038853.

The product of its digits is 2073600, while the sum is 46.

The spelling of 541436634145 in words is "five hundred forty-one billion, four hundred thirty-six million, six hundred thirty-four thousand, one hundred forty-five".