846967123968 has 416 divisors, whose sum is σ = 2679732436992. Its totient is φ = 232818278400.

The previous prime is 846967123957. The next prime is 846967124063. The reversal of 846967123968 is 869321769648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509299905 + ... + 509301567.

It is an arithmetic number, because the mean of its divisors is an integer number (6441664512).

Almost surely, 2^846967123968 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 846967123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339866218496).

846967123968 is an abundant number, since it is smaller than the sum of its proper divisors (1832765313024).

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

846967123968 is a wasteful number, since it uses less digits than its factorization.

846967123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1897 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 69.

The spelling of 846967123968 in words is "eight hundred forty-six billion, nine hundred sixty-seven million, one hundred twenty-three thousand, nine hundred sixty-eight".