8541991458 has 256 divisors, whose sum is σ = 26181550080. Its totient is φ = 1992211200.

The previous prime is 8541991457. The next prime is 8541991489.

8541991458 is a `hidden beast` number, since 8 + 541 + 9 + 91 + 4 + 5 + 8 = 666.

8541991458 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8541991457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1997863 + ... + 2002133.

It is an arithmetic number, because the mean of its divisors is an integer number (102271680).

Almost surely, 2^8541991458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8541991458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090775040).

8541991458 is an abundant number, since it is smaller than the sum of its proper divisors (17639558622).

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

8541991458 is a wasteful number, since it uses less digits than its factorization.

8541991458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4344 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 8541991458 is about 92422.8946636059. The cubic root of 8541991458 is about 2044.1827113744.

It can be divided in two parts, 8541 and 991458, that added together give a palindrome (999999).

The spelling of 8541991458 in words is "eight billion, five hundred forty-one million, nine hundred ninety-one thousand, four hundred fifty-eight".