845438466600 has 3072 divisors, whose sum is σ = 4095737856000. Its totient is φ = 155196518400.

The previous prime is 845438466583. The next prime is 845438466629. The reversal of 845438466600 is 6664834548.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 6656995737 + ... + 6656995863.

It is an arithmetic number, because the mean of its divisors is an integer number (1333248000).

Almost surely, 2^845438466600 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 845438466600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047868928000).

845438466600 is an abundant number, since it is smaller than the sum of its proper divisors (3250299389400).

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

845438466600 is a wasteful number, since it uses less digits than its factorization.

845438466600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 845438466600 in words is "eight hundred forty-five billion, four hundred thirty-eight million, four hundred sixty-six thousand, six hundred".