891141888 has 288 divisors, whose sum is σ = 2999872512. Its totient is φ = 228556800.

The previous prime is 891141871. The next prime is 891141907. The reversal of 891141888 is 888141198.

It is a happy number.

891141888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2865253 + ... + 2865563.

It is an arithmetic number, because the mean of its divisors is an integer number (10416224).

Almost surely, 2^891141888 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 891141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499936256).

891141888 is an abundant number, since it is smaller than the sum of its proper divisors (2108730624).

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

891141888 is a wasteful number, since it uses less digits than its factorization.

891141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its digits is 147456, while the sum is 48.

The square root of 891141888 is about 29851.9997320113. Note that the first 3 decimals coincide. The cubic root of 891141888 is about 962.3113749219.

The spelling of 891141888 in words is "eight hundred ninety-one million, one hundred forty-one thousand, eight hundred eighty-eight".