854199991458 has 192 divisors, whose sum is σ = 2082514696704. Its totient is φ = 250871040000.

The previous prime is 854199991433. The next prime is 854199991459.

It is a happy number.

854199991458 is a `hidden beast` number, since 85 + 4 + 1 + 9 + 9 + 9 + 91 + 458 = 666.

854199991458 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (854199991459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199997863 + ... + 200002133.

It is an arithmetic number, because the mean of its divisors is an integer number (10846430712).

Almost surely, 2^854199991458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854199991458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041257348352).

854199991458 is an abundant number, since it is smaller than the sum of its proper divisors (1228314705246).

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

854199991458 is a wasteful number, since it uses less digits than its factorization.

854199991458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4598 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 72.

It can be divided in two parts, 8541 and 99991458, that added together give a palindrome (99999999).

The spelling of 854199991458 in words is "eight hundred fifty-four billion, one hundred ninety-nine million, nine hundred ninety-one thousand, four hundred fifty-eight".