845025564640896 has 256 divisors, whose sum is σ = 2580055883856000. Its totient is φ = 271956257685504.

The previous prime is 845025564640891. The next prime is 845025564640897. The reversal of 845025564640896 is 698046465520548.

845025564640896 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 2 + 556 + 4 + 64 + 0 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (845025564640891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7897898376 + ... + 7898005368.

Almost surely, 2^{845025564640896} 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 845025564640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290027941928000).

845025564640896 is an abundant number, since it is smaller than the sum of its proper divisors (1735030319215104).

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

845025564640896 is a wasteful number, since it uses less digits than its factorization.

845025564640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185848 (or 185830 counting only the distinct ones).

The product of its (nonzero) digits is 1990656000, while the sum is 72.

The spelling of 845025564640896 in words is "eight hundred forty-five trillion, twenty-five billion, five hundred sixty-four million, six hundred forty thousand, eight hundred ninety-six".