1581146112 has 336 divisors, whose sum is σ = 5334042672. Its totient is φ = 412876800.

The previous prime is 1581146111. The next prime is 1581146153. The reversal of 1581146112 is 2116411851.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 1581146112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1581146111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15654862 + ... + 15654962.

It is an arithmetic number, because the mean of its divisors is an integer number (15875127).

Almost surely, 2^1581146112 is an apocalyptic number.

1581146112 is a gapful number since it is divisible by the number (12) 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 1581146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667021336).

1581146112 is an abundant number, since it is smaller than the sum of its proper divisors (3752896560).

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

1581146112 is a wasteful number, since it uses less digits than its factorization.

1581146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its digits is 1920, while the sum is 30.

The square root of 1581146112 is about 39763.6280034908. The cubic root of 1581146112 is about 1164.9948392018.

Adding to 1581146112 its reverse (2116411851), we get a palindrome (3697557963).

The spelling of 1581146112 in words is "one billion, five hundred eighty-one million, one hundred forty-six thousand, one hundred twelve".