846132567456 has 576 divisors, whose sum is σ = 2766389189760. Its totient is φ = 224811417600.

The previous prime is 846132567433. The next prime is 846132567457. The reversal of 846132567456 is 654765231648.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 846132567396 and 846132567405.

It is not an unprimeable number, because it can be changed into a prime (846132567457) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 228868200 + ... + 228871896.

It is an arithmetic number, because the mean of its divisors is an integer number (4802759010).

Almost surely, 2^846132567456 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 846132567456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383194594880).

846132567456 is an abundant number, since it is smaller than the sum of its proper divisors (1920256622304).

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

846132567456 is a wasteful number, since it uses less digits than its factorization.

846132567456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3810 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 846132567456 in words is "eight hundred forty-six billion, one hundred thirty-two million, five hundred sixty-seven thousand, four hundred fifty-six".