541557444755145 has 96 divisors (see below), whose sum is σ = 1114833075003648. Its totient is φ = 222348978657792.

The previous prime is 541557444755113. The next prime is 541557444755191.

541557444755145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541557444755145 - 2⁵ = 541557444755113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 765564189 + ... + 766271258.

It is an arithmetic number, because the mean of its divisors is an integer number (11612844531288).

Almost surely, 2^{541557444755145} is an apocalyptic number.

It is an amenable number.

541557444755145 is an abundant number, since it is smaller than the sum of its proper divisors (573275630248503).

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

541557444755145 is a wasteful number, since it uses less digits than its factorization.

541557444755145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531835519 (or 1531835512 counting only the distinct ones).

The product of its digits is 784000000, while the sum is 66.

The spelling of 541557444755145 in words is "five hundred forty-one trillion, five hundred fifty-seven billion, four hundred forty-four million, seven hundred fifty-five thousand, one hundred forty-five".