998268613632 has 330 divisors, whose sum is σ = 3011595024438. Its totient is φ = 329377923072.

The previous prime is 998268613621. The next prime is 998268613709. The reversal of 998268613632 is 236316862899.

998268613632 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 6 + 8 + 613 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 49561445376 + 948707168256 = 222624^2 + 974016^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 998268613632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 985457158 + ... + 985458170.

Almost surely, 2^998268613632 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 998268613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505797512219).

998268613632 is an abundant number, since it is smaller than the sum of its proper divisors (2013326410806).

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

998268613632 is a wasteful number, since it uses less digits than its factorization.

998268613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1127 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 998268613632 in words is "nine hundred ninety-eight billion, two hundred sixty-eight million, six hundred thirteen thousand, six hundred thirty-two".