541314413145 has 96 divisors (see below), whose sum is σ = 1035148667904. Its totient is φ = 259495488000.

The previous prime is 541314413137. The next prime is 541314413179.

541314413145 is a `hidden beast` number, since 5 + 41 + 31 + 441 + 3 + 145 = 666.

541314413145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541314413145 - 2³ = 541314413137 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, 37839064 + ... + 37853366.

It is an arithmetic number, because the mean of its divisors is an integer number (10782798624).

Almost surely, 2^541314413145 is an apocalyptic number.

541314413145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541314413145 is a deficient number, since it is larger than the sum of its proper divisors (493834254759).

541314413145 is a wasteful number, since it uses less digits than its factorization.

541314413145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183 (or 15180 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 541314 and 413145, that added together give a palindrome (954459).

The spelling of 541314413145 in words is "five hundred forty-one billion, three hundred fourteen million, four hundred thirteen thousand, one hundred forty-five".