1816517664 has 480 divisors, whose sum is σ = 6229149696. Its totient is φ = 515082240.

The previous prime is 1816517653. The next prime is 1816517687. The reversal of 1816517664 is 4667156181.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38649289 + ... + 38649335.

Almost surely, 2^1816517664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1816517664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114574848).

1816517664 is an abundant number, since it is smaller than the sum of its proper divisors (4412632032).

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

1816517664 is a wasteful number, since it uses less digits than its factorization.

1816517664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1816517664 is about 42620.6248663719. The cubic root of 1816517664 is about 1220.1499555889.

It can be divided in two parts, 1816517 and 664, that added together give a palindrome (1817181).

The spelling of 1816517664 in words is "one billion, eight hundred sixteen million, five hundred seventeen thousand, six hundred sixty-four".