1813345408 has 128 divisors (see below), whose sum is σ = 4496976000. Its totient is φ = 710664192.

The previous prime is 1813345397. The next prime is 1813345411. The reversal of 1813345408 is 8045433181.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491860 + ... + 495532.

It is an arithmetic number, because the mean of its divisors is an integer number (35132625).

Almost surely, 2^1813345408 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 1813345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248488000).

1813345408 is an abundant number, since it is smaller than the sum of its proper divisors (2683630592).

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

1813345408 is a wasteful number, since it uses less digits than its factorization.

1813345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1813345408 is about 42583.3935707337. The cubic root of 1813345408 is about 1219.4392765011.

Adding to 1813345408 its reverse (8045433181), we get a palindrome (9858778589).

The spelling of 1813345408 in words is "one billion, eight hundred thirteen million, three hundred forty-five thousand, four hundred eight".