845249003280 has 480 divisors, whose sum is σ = 3314995826688. Its totient is φ = 198297331200.

The previous prime is 845249003201. The next prime is 845249003323. The reversal of 845249003280 is 82300942548.

845249003280 is a `hidden beast` number, since 8 + 4 + 52 + 490 + 0 + 32 + 80 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6565287 + ... + 6692793.

Almost surely, 2^845249003280 is an apocalyptic number.

845249003280 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 845249003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657497913344).

845249003280 is an abundant number, since it is smaller than the sum of its proper divisors (2469746823408).

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

845249003280 is a wasteful number, since it uses less digits than its factorization.

845249003280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127577 (or 127559 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 845249003280 in words is "eight hundred forty-five billion, two hundred forty-nine million, three thousand, two hundred eighty".