845083647072 has 384 divisors, whose sum is σ = 3094137446400. Its totient is φ = 218798350848.

The previous prime is 845083647043. The next prime is 845083647103. The reversal of 845083647072 is 270746380548.

845083647072 is a `hidden beast` number, since 8 + 4 + 508 + 3 + 64 + 7 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2483103 + ... + 2802849.

It is an arithmetic number, because the mean of its divisors is an integer number (8057649600).

Almost surely, 2^845083647072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845083647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547068723200).

845083647072 is an abundant number, since it is smaller than the sum of its proper divisors (2249053799328).

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

845083647072 is a wasteful number, since it uses less digits than its factorization.

845083647072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319815 (or 319801 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 845083647072 in words is "eight hundred forty-five billion, eighty-three million, six hundred forty-seven thousand, seventy-two".