983352206466432 has 2304 divisors, whose sum is σ = 3325785236766720. Its totient is φ = 278289285120000.

The previous prime is 983352206466403. The next prime is 983352206466473. The reversal of 983352206466432 is 234664602253389.

983352206466432 is a `hidden beast` number, since 9 + 8 + 3 + 3 + 522 + 0 + 6 + 4 + 66 + 43 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 983352206466432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5148440871457 + ... + 5148440871647.

It is an arithmetic number, because the mean of its divisors is an integer number (1443483175680).

Almost surely, 2^{983352206466432} 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 983352206466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662892618383360).

983352206466432 is an abundant number, since it is smaller than the sum of its proper divisors (2342433030300288).

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

983352206466432 is a wasteful number, since it uses less digits than its factorization.

983352206466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 983352206466432 in words is "nine hundred eighty-three trillion, three hundred fifty-two billion, two hundred six million, four hundred sixty-six thousand, four hundred thirty-two".