845989649132544 has 1056 divisors, whose sum is σ = 3119854578336000. Its totient is φ = 225108094353408.

The previous prime is 845989649132501. The next prime is 845989649132599. The reversal of 845989649132544 is 445231946989548.

845989649132544 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 8 + 9 + 64 + 9 + 1 + 3 + 2 + 544 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1518398464 + ... + 1518955520.

Almost surely, 2^{845989649132544} is an apocalyptic number.

845989649132544 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 845989649132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559927289168000).

845989649132544 is an abundant number, since it is smaller than the sum of its proper divisors (2273864929203456).

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

845989649132544 is a wasteful number, since it uses less digits than its factorization.

845989649132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557178 (or 557147 counting only the distinct ones).

The product of its digits is 10749542400, while the sum is 81.

The spelling of 845989649132544 in words is "eight hundred forty-five trillion, nine hundred eighty-nine billion, six hundred forty-nine million, one hundred thirty-two thousand, five hundred forty-four".