1881138168 has 640 divisors, whose sum is σ = 7220505600. Its totient is φ = 443418624.

The previous prime is 1881138151. The next prime is 1881138173. The reversal of 1881138168 is 8618311881.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25768980 + ... + 25769052.

It is an arithmetic number, because the mean of its divisors is an integer number (11282040).

Almost surely, 2^1881138168 is an apocalyptic number.

1881138168 is a gapful number since it is divisible by the number (18) 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 1881138168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610252800).

1881138168 is an abundant number, since it is smaller than the sum of its proper divisors (5339367432).

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

1881138168 is a wasteful number, since it uses less digits than its factorization.

1881138168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 1881138168 is about 43372.0897352203. The cubic root of 1881138168 is about 1234.4501736052.

The spelling of 1881138168 in words is "one billion, eight hundred eighty-one million, one hundred thirty-eight thousand, one hundred sixty-eight".