8198993952 has 144 divisors (see below), whose sum is σ = 23711688000. Its totient is φ = 2687012352.

The previous prime is 8198993909. The next prime is 8198993953. The reversal of 8198993952 is 2593998918.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 8198993952.

It is not an unprimeable number, because it can be changed into a prime (8198993953) 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, 4362549 + ... + 4364427.

It is an arithmetic number, because the mean of its divisors is an integer number (164664500).

Almost surely, 2^8198993952 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 8198993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855844000).

8198993952 is an abundant number, since it is smaller than the sum of its proper divisors (15512694048).

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

8198993952 is a wasteful number, since it uses less digits than its factorization.

8198993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2132 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 63.

The square root of 8198993952 is about 90548.2962401833. The cubic root of 8198993952 is about 2016.4472033230.

The spelling of 8198993952 in words is "eight billion, one hundred ninety-eight million, nine hundred ninety-three thousand, nine hundred fifty-two".