845441521404480 has 5376 divisors, whose sum is σ = 4103352191877120. Its totient is φ = 154114464153600.

The previous prime is 845441521404479. The next prime is 845441521404503. The reversal of 845441521404480 is 84404125144548.

It is a happy number.

845441521404480 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 4 + 1 + 52 + 140 + 448 + 0 = 666.

It is a super-2 number, since 2×845441521404480² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2173371520126 + ... + 2173371520514.

It is an arithmetic number, because the mean of its divisors is an integer number (763272357120).

Almost surely, 2^{845441521404480} is an apocalyptic number.

845441521404480 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 845441521404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051676095938560).

845441521404480 is an abundant number, since it is smaller than the sum of its proper divisors (3257910670472640).

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

845441521404480 is a wasteful number, since it uses less digits than its factorization.

845441521404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 54.

The spelling of 845441521404480 in words is "eight hundred forty-five trillion, four hundred forty-one billion, five hundred twenty-one million, four hundred four thousand, four hundred eighty".