845648350560 has 384 divisors, whose sum is σ = 3193147077120. Its totient is φ = 207787161600.

The previous prime is 845648350529. The next prime is 845648350571. The reversal of 845648350560 is 65053846548.

845648350560 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 48 + 35 + 0 + 560 = 666.

It is a super-2 number, since 2×845648350560² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 845648350497 and 845648350506.

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 63 ways as a sum of consecutive naturals, for example, 32054175 + ... + 32080545.

It is an arithmetic number, because the mean of its divisors is an integer number (8315487180).

Almost surely, 2^845648350560 is an apocalyptic number.

845648350560 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 845648350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596573538560).

845648350560 is an abundant number, since it is smaller than the sum of its proper divisors (2347498726560).

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

845648350560 is a wasteful number, since it uses less digits than its factorization.

845648350560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26979 (or 26965 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 845648350560 in words is "eight hundred forty-five billion, six hundred forty-eight million, three hundred fifty thousand, five hundred sixty".