845492044320 has 2304 divisors, whose sum is σ = 4095463680000. Its totient is φ = 160456826880.

The previous prime is 845492044279. The next prime is 845492044343. The reversal of 845492044320 is 23440294548.

845492044320 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 9 + 204 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1282992151 + ... + 1282992809.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545000).

Almost surely, 2^845492044320 is an apocalyptic number.

845492044320 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 845492044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047731840000).

845492044320 is an abundant number, since it is smaller than the sum of its proper divisors (3249971635680).

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

845492044320 is a wasteful number, since it uses less digits than its factorization.

845492044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 845492044320 in words is "eight hundred forty-five billion, four hundred ninety-two million, forty-four thousand, three hundred twenty".