1813973616 has 280 divisors, whose sum is σ = 6489272160. Its totient is φ = 478130688.

The previous prime is 1813973599. The next prime is 1813973633. The reversal of 1813973616 is 6163793181.

1813973616 is a `hidden beast` number, since 18 + 13 + 9 + 7 + 3 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (1813973599) and next prime (1813973633).

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 55 ways as a sum of consecutive naturals, for example, 1060570 + ... + 1062278.

It is an arithmetic number, because the mean of its divisors is an integer number (23175972).

Almost surely, 2^1813973616 is an apocalyptic number.

1813973616 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 1813973616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244636080).

1813973616 is an abundant number, since it is smaller than the sum of its proper divisors (4675298544).

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

1813973616 is a wasteful number, since it uses less digits than its factorization.

1813973616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1734 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1813973616 is about 42590.7691407422. The cubic root of 1813973616 is about 1219.5800794352.

The spelling of 1813973616 in words is "one billion, eight hundred thirteen million, nine hundred seventy-three thousand, six hundred sixteen".