845616496000 has 128 divisors (see below), whose sum is σ = 2103241476960. Its totient is φ = 338113484800.

The previous prime is 845616495917. The next prime is 845616496013. The reversal of 845616496000 is 694616548.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47399082 + ... + 47416918.

Almost surely, 2^845616496000 is an apocalyptic number.

845616496000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845616496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051620738480).

845616496000 is an abundant number, since it is smaller than the sum of its proper divisors (1257624980960).

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

845616496000 is a wasteful number, since it uses less digits than its factorization.

845616496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20829 (or 20807 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 845616496000 in words is "eight hundred forty-five billion, six hundred sixteen million, four hundred ninety-six thousand".