811832001672 has 128 divisors (see below), whose sum is σ = 2153866752000. Its totient is φ = 254277273600.

The previous prime is 811832001671. The next prime is 811832001677. The reversal of 811832001672 is 276100238118.

It is a self number, because there is not a number n which added to its sum of digits gives 811832001672.

It is not an unprimeable number, because it can be changed into a prime (811832001671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46331329 + ... + 46348847.

It is an arithmetic number, because the mean of its divisors is an integer number (16827084000).

Almost surely, 2^811832001672 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 811832001672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076933376000).

811832001672 is an abundant number, since it is smaller than the sum of its proper divisors (1342034750328).

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

811832001672 is a wasteful number, since it uses less digits than its factorization.

811832001672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18371 (or 18367 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 811832001672 in words is "eight hundred eleven billion, eight hundred thirty-two million, one thousand, six hundred seventy-two".