85433323794432 has 208 divisors, whose sum is σ = 231953103908352. Its totient is φ = 27959583375360.

The previous prime is 85433323794421. The next prime is 85433323794449. The reversal of 85433323794432 is 23449732333458.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409909513 + ... + 410117879.

Almost surely, 2^{85433323794432} 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 85433323794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115976551954176).

85433323794432 is an abundant number, since it is smaller than the sum of its proper divisors (146519780113920).

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

85433323794432 is a wasteful number, since it uses less digits than its factorization.

85433323794432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209002 (or 208980 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 60.

The spelling of 85433323794432 in words is "eighty-five trillion, four hundred thirty-three billion, three hundred twenty-three million, seven hundred ninety-four thousand, four hundred thirty-two".