811590618664 has 64 divisors (see below), whose sum is σ = 1764073555200. Its totient is φ = 342836928000.

The previous prime is 811590618649. The next prime is 811590618667. The reversal of 811590618664 is 466816095118.

It is not an unprimeable number, because it can be changed into a prime (811590618667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16678882 + ... + 16727470.

It is an arithmetic number, because the mean of its divisors is an integer number (27563649300).

Almost surely, 2^811590618664 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 811590618664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882036777600).

811590618664 is an abundant number, since it is smaller than the sum of its proper divisors (952482936536).

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

811590618664 is a wasteful number, since it uses less digits than its factorization.

811590618664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52874 (or 52870 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 811590618664 in words is "eight hundred eleven billion, five hundred ninety million, six hundred eighteen thousand, six hundred sixty-four".