1813383936 has 540 divisors, whose sum is σ = 6876596496. Its totient is φ = 462827520.

The previous prime is 1813383899. The next prime is 1813383941. The reversal of 1813383936 is 6393833181.

1813383936 is a `hidden beast` number, since 181 + 3 + 383 + 93 + 6 = 666.

It is a super-2 number, since 2×1813383936² = 6576722598685704192, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1813383891 and 1813383900.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58496241 + ... + 58496271.

Almost surely, 2^1813383936 is an apocalyptic number.

1813383936 is a gapful number since it is divisible by the number (16) 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 1813383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438298248).

1813383936 is an abundant number, since it is smaller than the sum of its proper divisors (5063212560).

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

1813383936 is an equidigital number, since it uses as much as digits as its factorization.

1813383936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 56 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1813383936 is about 42583.8459512525. The cubic root of 1813383936 is about 1219.4479128818.

The spelling of 1813383936 in words is "one billion, eight hundred thirteen million, three hundred eighty-three thousand, nine hundred thirty-six".