541645727546145 has 64 divisors (see below), whose sum is σ = 899018245002240. Its totient is φ = 278291243612928.

The previous prime is 541645727546137. The next prime is 541645727546149.

541645727546145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541645727546145 - 2³ = 541645727546137 is a prime.

It is a super-2 number, since 2×541645727546145² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541645727546149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1620450 + ... + 32953259.

It is an arithmetic number, because the mean of its divisors is an integer number (14047160078160).

Almost surely, 2^{541645727546145} is an apocalyptic number.

It is an amenable number.

541645727546145 is a deficient number, since it is larger than the sum of its proper divisors (357372517456095).

541645727546145 is a wasteful number, since it uses less digits than its factorization.

541645727546145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34574094.

The product of its digits is 564480000, while the sum is 66.

The spelling of 541645727546145 in words is "five hundred forty-one trillion, six hundred forty-five billion, seven hundred twenty-seven million, five hundred forty-six thousand, one hundred forty-five".