891138341808 has 480 divisors, whose sum is σ = 3084585573888. Its totient is φ = 236307456000.

The previous prime is 891138341801. The next prime is 891138341833. The reversal of 891138341808 is 808143831198.

891138341808 is a `hidden beast` number, since 8 + 91 + 138 + 3 + 418 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (891138341801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53510283 + ... + 53526933.

Almost surely, 2^891138341808 is an apocalyptic number.

891138341808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891138341808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542292786944).

891138341808 is an abundant number, since it is smaller than the sum of its proper divisors (2193447232080).

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

891138341808 is a wasteful number, since it uses less digits than its factorization.

891138341808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16816 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 891138341808 in words is "eight hundred ninety-one billion, one hundred thirty-eight million, three hundred forty-one thousand, eight hundred eight".