846642161744 has 80 divisors (see below), whose sum is σ = 1741381699200. Its totient is φ = 397644691968.

The previous prime is 846642161713. The next prime is 846642161749. The reversal of 846642161744 is 447161246648.

It is a happy number.

It is a super-3 number, since 3×846642161744³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846642161749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19595237 + ... + 19638395.

It is an arithmetic number, because the mean of its divisors is an integer number (21767271240).

Almost surely, 2^846642161744 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 846642161744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870690849600).

846642161744 is an abundant number, since it is smaller than the sum of its proper divisors (894739537456).

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

846642161744 is a wasteful number, since it uses less digits than its factorization.

846642161744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43732 (or 43726 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 53.

The spelling of 846642161744 in words is "eight hundred forty-six billion, six hundred forty-two million, one hundred sixty-one thousand, seven hundred forty-four".