541749947145 has 32 divisors (see below), whose sum is σ = 968663332224. Its totient is φ = 256260134400.

The previous prime is 541749947113. The next prime is 541749947149.

It is a happy number.

541749947145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541749947145 - 2⁵ = 541749947113 is a prime.

It is a super-2 number, since 2×541749947145² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541749947149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40033882 + ... + 40047411.

It is an arithmetic number, because the mean of its divisors is an integer number (30270729132).

Almost surely, 2^541749947145 is an apocalyptic number.

541749947145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541749947145 is a deficient number, since it is larger than the sum of its proper divisors (426913385079).

541749947145 is a wasteful number, since it uses less digits than its factorization.

541749947145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80081353.

The product of its digits is 25401600, while the sum is 60.

The spelling of 541749947145 in words is "five hundred forty-one billion, seven hundred forty-nine million, nine hundred forty-seven thousand, one hundred forty-five".