801831138108 has 384 divisors, whose sum is σ = 2624360546304. Its totient is φ = 183670502400.

The previous prime is 801831138083. The next prime is 801831138133.

801831138108 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (801831138083) and next prime (801831138133).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 801831138108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406401010 + ... + 406402982.

It is an arithmetic number, because the mean of its divisors is an integer number (6834272256).

Almost surely, 2^801831138108 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 801831138108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312180273152).

801831138108 is an abundant number, since it is smaller than the sum of its proper divisors (1822529408196).

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

801831138108 is a wasteful number, since it uses less digits than its factorization.

801831138108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

It can be divided in two parts, 801831 and 138108, that added together give a palindrome (939939).

The spelling of 801831138108 in words is "eight hundred one billion, eight hundred thirty-one million, one hundred thirty-eight thousand, one hundred eight".