846131412 has 144 divisors (see below), whose sum is σ = 2484857088. Its totient is φ = 222566400.

The previous prime is 846131411. The next prime is 846131417. The reversal of 846131412 is 214131648.

It is a super-3 number, since 3×846131412³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 846131412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846131411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468912 + ... + 470712.

It is an arithmetic number, because the mean of its divisors is an integer number (17255952).

Almost surely, 2^846131412 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 846131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242428544).

846131412 is an abundant number, since it is smaller than the sum of its proper divisors (1638725676).

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

846131412 is a wasteful number, since it uses less digits than its factorization.

846131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1877 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 846131412 is about 29088.3380755931. The cubic root of 846131412 is about 945.8289571228.

The spelling of 846131412 in words is "eight hundred forty-six million, one hundred thirty-one thousand, four hundred twelve".