845546920796160 has 2688 divisors, whose sum is σ = 3565236469898880. Its totient is φ = 189256307834880.

The previous prime is 845546920796141. The next prime is 845546920796261. The reversal of 845546920796160 is 61697029645548.

845546920796160 is a `hidden beast` number, since 8 + 4 + 5 + 546 + 9 + 2 + 0 + 79 + 6 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120568500814 + ... + 120568507826.

It is an arithmetic number, because the mean of its divisors is an integer number (1326352853385).

Almost surely, 2^{845546920796160} is an apocalyptic number.

845546920796160 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 845546920796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782618234949440).

845546920796160 is an abundant number, since it is smaller than the sum of its proper divisors (2719689549102720).

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

845546920796160 is a wasteful number, since it uses less digits than its factorization.

845546920796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 845546920796160 in words is "eight hundred forty-five trillion, five hundred forty-six billion, nine hundred twenty million, seven hundred ninety-six thousand, one hundred sixty".