85434643458 has 32 divisors (see below), whose sum is σ = 199847121600. Its totient is φ = 26979360768.

The previous prime is 85434643453. The next prime is 85434643501.

85434643458 is a `hidden beast` number, since 8 + 543 + 4 + 6 + 43 + 4 + 58 = 666.

85434643458 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (85434643453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41633791 + ... + 41635842.

It is an arithmetic number, because the mean of its divisors is an integer number (6245222550).

Almost surely, 2^85434643458 is an apocalyptic number.

85434643458 is an abundant number, since it is smaller than the sum of its proper divisors (114412478142).

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

85434643458 is a wasteful number, since it uses less digits than its factorization.

85434643458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83269663 (or 83269657 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 85434643458 in words is "eighty-five billion, four hundred thirty-four million, six hundred forty-three thousand, four hundred fifty-eight".