846254495947968 has 280 divisors, whose sum is σ = 2537147955513600. Its totient is φ = 278879684728320.

The previous prime is 846254495947951. The next prime is 846254495947997. The reversal of 846254495947968 is 869749594452648.

846254495947968 is a `hidden beast` number, since 8 + 4 + 6 + 2 + 5 + 4 + 4 + 9 + 594 + 7 + 9 + 6 + 8 = 666.

846254495947968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×846254495947968² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318514303 + ... + 321160193.

Almost surely, 2^{846254495947968} 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 846254495947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268573977756800).

846254495947968 is an abundant number, since it is smaller than the sum of its proper divisors (1690893459565632).

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

846254495947968 is a wasteful number, since it uses less digits than its factorization.

846254495947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646617 (or 2646598 counting only the distinct ones).

The product of its digits is 150493593600, while the sum is 90.

The spelling of 846254495947968 in words is "eight hundred forty-six trillion, two hundred fifty-four billion, four hundred ninety-five million, nine hundred forty-seven thousand, nine hundred sixty-eight".