844869963312 has 240 divisors, whose sum is σ = 2562311501568. Its totient is φ = 258881126400.

The previous prime is 844869963299. The next prime is 844869963337. The reversal of 844869963312 is 213369968448.

844869963312 is a `hidden beast` number, since 8 + 4 + 486 + 99 + 63 + 3 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 844869963312.

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 47 ways as a sum of consecutive naturals, for example, 28918312 + ... + 28947512.

Almost surely, 2^844869963312 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 844869963312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281155750784).

844869963312 is an abundant number, since it is smaller than the sum of its proper divisors (1717441538256).

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

844869963312 is a wasteful number, since it uses less digits than its factorization.

844869963312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29508 (or 29499 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 844869963312 in words is "eight hundred forty-four billion, eight hundred sixty-nine million, nine hundred sixty-three thousand, three hundred twelve".