1813982688 has 240 divisors, whose sum is σ = 6456741984. Its totient is φ = 487710720.

The previous prime is 1813982657. The next prime is 1813982693. The reversal of 1813982688 is 8862893181.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305508 + ... + 311388.

Almost surely, 2^1813982688 is an apocalyptic number.

1813982688 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 1813982688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228370992).

1813982688 is an abundant number, since it is smaller than the sum of its proper divisors (4642759296).

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

1813982688 is a wasteful number, since it uses less digits than its factorization.

1813982688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5910 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 1813982688 is about 42590.8756425599. The cubic root of 1813982688 is about 1219.5821125431.

The spelling of 1813982688 in words is "one billion, eight hundred thirteen million, nine hundred eighty-two thousand, six hundred eighty-eight".