1813661696 has 288 divisors, whose sum is σ = 4840093440. Its totient is φ = 670924800.

The previous prime is 1813661693. The next prime is 1813661719. The reversal of 1813661696 is 6961663181.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1813661696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813661693) 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, 34220006 + ... + 34220058.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 2^1813661696 is an apocalyptic number.

1813661696 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 1813661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

1813661696 is an abundant number, since it is smaller than the sum of its proper divisors (3026431744).

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

1813661696 is a wasteful number, since it uses less digits than its factorization.

1813661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 1813661696 is about 42587.1071569789. The cubic root of 1813661696 is about 1219.5101715414.

The spelling of 1813661696 in words is "one billion, eight hundred thirteen million, six hundred sixty-one thousand, six hundred ninety-six".