846383671352448 has 448 divisors, whose sum is σ = 2594890841114880. Its totient is φ = 274698887639040.

The previous prime is 846383671352353. The next prime is 846383671352467. The reversal of 846383671352448 is 844253176383648.

846383671352448 is a `hidden beast` number, since 8 + 4 + 6 + 3 + 8 + 367 + 13 + 5 + 244 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1924153465 + ... + 1924593287.

It is an arithmetic number, because the mean of its divisors is an integer number (5792167056060).

Almost surely, 2^{846383671352448} 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 846383671352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297445420557440).

846383671352448 is an abundant number, since it is smaller than the sum of its proper divisors (1748507169762432).

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

846383671352448 is an equidigital number, since it uses as much as digits as its factorization.

846383671352448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440399 (or 440372 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 72.

The spelling of 846383671352448 in words is "eight hundred forty-six trillion, three hundred eighty-three billion, six hundred seventy-one million, three hundred fifty-two thousand, four hundred forty-eight".