85445254458 has 16 divisors (see below), whose sum is σ = 189878343360. Its totient is φ = 28481751468.

The previous prime is 85445254457. The next prime is 85445254487.

85445254458 is a `hidden beast` number, since 8 + 5 + 4 + 45 + 2 + 544 + 58 = 666.

85445254458 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1582319527 = 85445254458 / (8 + 5 + 4 + 4 + 5 + 2 + 5 + 4 + 4 + 5 + 8).

It is not an unprimeable number, because it can be changed into a prime (85445254457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791159710 + ... + 791159817.

It is an arithmetic number, because the mean of its divisors is an integer number (11867396460).

Almost surely, 2^85445254458 is an apocalyptic number.

85445254458 is an abundant number, since it is smaller than the sum of its proper divisors (104433088902).

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

85445254458 is a wasteful number, since it uses less digits than its factorization.

85445254458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582319538 (or 1582319532 counting only the distinct ones).

The product of its digits is 20480000, while the sum is 54.

The spelling of 85445254458 in words is "eighty-five billion, four hundred forty-five million, two hundred fifty-four thousand, four hundred fifty-eight".