845295816960 has 432 divisors, whose sum is σ = 3489367996800. Its totient is φ = 193210085376.

The previous prime is 845295816941. The next prime is 845295816991. The reversal of 845295816960 is 69618592548.

845295816960 is a `hidden beast` number, since 8 + 4 + 529 + 5 + 8 + 16 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 1443861 + ... + 1943019.

Almost surely, 2^845295816960 is an apocalyptic number.

845295816960 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 845295816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744683998400).

845295816960 is an abundant number, since it is smaller than the sum of its proper divisors (2644072179840).

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

845295816960 is a wasteful number, since it uses less digits than its factorization.

845295816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499203 (or 499176 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 845295816960 in words is "eight hundred forty-five billion, two hundred ninety-five million, eight hundred sixteen thousand, nine hundred sixty".