85445288254458 has 192 divisors, whose sum is σ = 206558671363200. Its totient is φ = 25310093690880.

The previous prime is 85445288254457. The next prime is 85445288254463.

85445288254458 is a `hidden beast` number, since 8 + 5 + 4 + 4 + 5 + 28 + 8 + 2 + 544 + 58 = 666.

85445288254458 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85445288254451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225707708 + ... + 1225777416.

It is an arithmetic number, because the mean of its divisors is an integer number (1075826413350).

Almost surely, 2^{85445288254458} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85445288254458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103279335681600).

85445288254458 is an abundant number, since it is smaller than the sum of its proper divisors (121113383108742).

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

85445288254458 is a wasteful number, since it uses less digits than its factorization.

85445288254458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70557 (or 70554 counting only the distinct ones).

The product of its digits is 2621440000, while the sum is 72.

The spelling of 85445288254458 in words is "eighty-five trillion, four hundred forty-five billion, two hundred eighty-eight million, two hundred fifty-four thousand, four hundred fifty-eight".