841686144 has 128 divisors (see below), whose sum is σ = 2427028800. Its totient is φ = 256905216.

The previous prime is 841686143. The next prime is 841686191. The reversal of 841686144 is 441686148.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 841686096 and 841686105.

It is not an unprimeable number, because it can be changed into a prime (841686143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693282 + ... + 694494.

Almost surely, 2^841686144 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 841686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213514400).

841686144 is an abundant number, since it is smaller than the sum of its proper divisors (1585342656).

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

841686144 is a wasteful number, since it uses less digits than its factorization.

841686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1370 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 841686144 is about 29011.8276570091. The cubic root of 841686144 is about 944.1697004118.

The spelling of 841686144 in words is "eight hundred forty-one million, six hundred eighty-six thousand, one hundred forty-four".