845907245568 has 640 divisors, whose sum is σ = 3160663418880. Its totient is φ = 219693772800.

The previous prime is 845907245549. The next prime is 845907245591. The reversal of 845907245568 is 865542709548.

845907245568 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 0 + 72 + 4 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86215383 + ... + 86225193.

It is an arithmetic number, because the mean of its divisors is an integer number (4938536592).

Almost surely, 2^845907245568 is an apocalyptic number.

845907245568 is a gapful number since it is divisible by the number (88) 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 845907245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580331709440).

845907245568 is an abundant number, since it is smaller than the sum of its proper divisors (2314756173312).

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

845907245568 is an frugal number, since it uses more digits than its factorization.

845907245568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9868 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 845907245568 in words is "eight hundred forty-five billion, nine hundred seven million, two hundred forty-five thousand, five hundred sixty-eight".