845597116000 has 1152 divisors, whose sum is σ = 2782731055104. Its totient is φ = 249719500800.

The previous prime is 845597115997. The next prime is 845597116037. The reversal of 845597116000 is 611795548.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2754387847 + ... + 2754388153.

It is an arithmetic number, because the mean of its divisors is an integer number (2415565152).

Almost surely, 2^845597116000 is an apocalyptic number.

845597116000 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 845597116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391365527552).

845597116000 is an abundant number, since it is smaller than the sum of its proper divisors (1937133939104).

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

845597116000 is a wasteful number, since it uses less digits than its factorization.

845597116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 845597116000 in words is "eight hundred forty-five billion, five hundred ninety-seven million, one hundred sixteen thousand".