845249319936 has 352 divisors, whose sum is σ = 2985221652480. Its totient is φ = 230998597632.

The previous prime is 845249319919. The next prime is 845249319973. The reversal of 845249319936 is 639913942548.

845249319936 is a `hidden beast` number, since 8 + 4 + 52 + 493 + 1 + 9 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4356385 + ... + 4546271.

Almost surely, 2^845249319936 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 845249319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492610826240).

845249319936 is an abundant number, since it is smaller than the sum of its proper divisors (2139972332544).

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

845249319936 is a wasteful number, since it uses less digits than its factorization.

845249319936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189946 (or 189922 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 845249319936 in words is "eight hundred forty-five billion, two hundred forty-nine million, three hundred nineteen thousand, nine hundred thirty-six".