541226101622145 has 16 divisors (see below), whose sum is σ = 916900689807360. Its totient is φ = 271674278461184.

The previous prime is 541226101622117. The next prime is 541226101622197.

541226101622145 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 541226101622145 - 2¹¹ = 541226101620097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541226101622097 and 541226101622106.

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, 1061227649985 + ... + 1061227650494.

It is an arithmetic number, because the mean of its divisors is an integer number (57306293112960).

Almost surely, 2^{541226101622145} is an apocalyptic number.

It is an amenable number.

541226101622145 is a deficient number, since it is larger than the sum of its proper divisors (375674588185215).

541226101622145 is a wasteful number, since it uses less digits than its factorization.

541226101622145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122455300504.

The product of its (nonzero) digits is 230400, while the sum is 42.

It can be divided in two parts, 54122610 and 1622145, that added together give a palindrome (55744755).

The spelling of 541226101622145 in words is "five hundred forty-one trillion, two hundred twenty-six billion, one hundred one million, six hundred twenty-two thousand, one hundred forty-five".