85633673228064 has 576 divisors, whose sum is σ = 289214597468160. Its totient is φ = 23796224686080.

The previous prime is 85633673228063. The next prime is 85633673228069. The reversal of 85633673228064 is 46082237633658.

85633673228064 is a `hidden beast` number, since 8 + 5 + 6 + 336 + 73 + 228 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85633673227992 and 85633673228010.

It is not an unprimeable number, because it can be changed into a prime (85633673228063) 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, 147459679 + ... + 148039265.

It is an arithmetic number, because the mean of its divisors is an integer number (502108676160).

Almost surely, 2^{85633673228064} 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 85633673228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144607298734080).

85633673228064 is an abundant number, since it is smaller than the sum of its proper divisors (203580924240096).

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

85633673228064 is a wasteful number, since it uses less digits than its factorization.

85633673228064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579733 (or 579722 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 85633673228064 in words is "eighty-five trillion, six hundred thirty-three billion, six hundred seventy-three million, two hundred twenty-eight thousand, sixty-four".