85494235456 has 224 divisors, whose sum is σ = 205867284480. Its totient is φ = 34438846464.

The previous prime is 85494235451. The next prime is 85494235469. The reversal of 85494235456 is 65453249458.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 85494235397 and 85494235406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85494235451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183070935 + ... + 183071401.

Almost surely, 2^85494235456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85494235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102933642240).

85494235456 is an abundant number, since it is smaller than the sum of its proper divisors (120373049024).

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

85494235456 is a wasteful number, since it uses less digits than its factorization.

85494235456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 55.

The spelling of 85494235456 in words is "eighty-five billion, four hundred ninety-four million, two hundred thirty-five thousand, four hundred fifty-six".