541634436145 has 16 divisors (see below), whose sum is σ = 750757465728. Its totient is φ = 370744426240.

The previous prime is 541634436071. The next prime is 541634436181.

541634436145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541634436145 - 2¹⁹ = 541633911857 is a prime.

It is a super-2 number, since 2×541634436145² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541634436095 and 541634436104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289643149 + ... + 289645018.

It is an arithmetic number, because the mean of its divisors is an integer number (46922341608).

Almost surely, 2^541634436145 is an apocalyptic number.

541634436145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541634436145 is a deficient number, since it is larger than the sum of its proper divisors (209123029583).

541634436145 is a wasteful number, since it uses less digits than its factorization.

541634436145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579288200.

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

It can be divided in two parts, 541634 and 436145, that added together give a palindrome (977779).

The spelling of 541634436145 in words is "five hundred forty-one billion, six hundred thirty-four million, four hundred thirty-six thousand, one hundred forty-five".