891608461128 has 1152 divisors, whose sum is σ = 3301620940800. Its totient is φ = 212101908480.

The previous prime is 891608461127. The next prime is 891608461169. The reversal of 891608461128 is 821164806198.

It is a happy number.

891608461128 is a `hidden beast` number, since 8 + 9 + 1 + 608 + 4 + 6 + 1 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (891608461127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7020539001 + ... + 7020539127.

It is an arithmetic number, because the mean of its divisors is an integer number (2865990400).

Almost surely, 2^891608461128 is an apocalyptic number.

891608461128 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 891608461128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650810470400).

891608461128 is an abundant number, since it is smaller than the sum of its proper divisors (2410012479672).

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

891608461128 is a wasteful number, since it uses less digits than its factorization.

891608461128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

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

The spelling of 891608461128 in words is "eight hundred ninety-one billion, six hundred eight million, four hundred sixty-one thousand, one hundred twenty-eight".