1813413888 has 384 divisors, whose sum is σ = 6297651360. Its totient is φ = 495452160.

The previous prime is 1813413881. The next prime is 1813413929. The reversal of 1813413888 is 8883143181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (147456) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1813413881) 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, 42172395 + ... + 42172437.

Almost surely, 2^1813413888 is an apocalyptic number.

1813413888 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 1813413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148825680).

1813413888 is an abundant number, since it is smaller than the sum of its proper divisors (4484237472).

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

1813413888 is a wasteful number, since it uses less digits than its factorization.

1813413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1813413888 is about 42584.1976324552. The cubic root of 1813413888 is about 1219.4546267942.

The spelling of 1813413888 in words is "one billion, eight hundred thirteen million, four hundred thirteen thousand, eight hundred eighty-eight".