845121682944 has 960 divisors, whose sum is σ = 3320247490560. Its totient is φ = 207914065920.

The previous prime is 845121682927. The next prime is 845121682981. The reversal of 845121682944 is 449286121548.

845121682944 is a `hidden beast` number, since 8 + 4 + 512 + 1 + 6 + 82 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182018287 + ... + 182022929.

It is an arithmetic number, because the mean of its divisors is an integer number (3458591136).

Almost surely, 2^845121682944 is an apocalyptic number.

845121682944 is a gapful number since it is divisible by the number (84) 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 845121682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660123745280).

845121682944 is an abundant number, since it is smaller than the sum of its proper divisors (2475125807616).

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

845121682944 is a wasteful number, since it uses less digits than its factorization.

845121682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4685 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 845121682944 in words is "eight hundred forty-five billion, one hundred twenty-one million, six hundred eighty-two thousand, nine hundred forty-four".