846331379712 has 960 divisors, whose sum is σ = 3163374614400. Its totient is φ = 220150628352.

The previous prime is 846331379671. The next prime is 846331379737. The reversal of 846331379712 is 217973133648.

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

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

Its product of digits (4572288) is a multiple of the sum of its prime divisors (98).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11593580508 + ... + 11593580580.

It is an arithmetic number, because the mean of its divisors is an integer number (3295181890).

Almost surely, 2^846331379712 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 846331379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581687307200).

846331379712 is an abundant number, since it is smaller than the sum of its proper divisors (2317043234688).

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

846331379712 is an frugal number, since it uses more digits than its factorization.

846331379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 846331379712 in words is "eight hundred forty-six billion, three hundred thirty-one million, three hundred seventy-nine thousand, seven hundred twelve".