981633284352 has 216 divisors, whose sum is σ = 3256334827200. Its totient is φ = 278583644160.

The previous prime is 981633284351. The next prime is 981633284353. The reversal of 981633284352 is 253482336189.

981633284352 is a `hidden beast` number, since 9 + 8 + 1 + 6 + 3 + 3 + 284 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (981633284351) and next prime (981633284353).

It is not an unprimeable number, because it can be changed into a prime (981633284351) 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, 2198827 + ... + 2607317.

It is an arithmetic number, because the mean of its divisors is an integer number (15075624200).

Almost surely, 2^981633284352 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 981633284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628167413600).

981633284352 is an abundant number, since it is smaller than the sum of its proper divisors (2274701542848).

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

981633284352 is a wasteful number, since it uses less digits than its factorization.

981633284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408669 (or 408652 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 981633284352 in words is "nine hundred eighty-one billion, six hundred thirty-three million, two hundred eighty-four thousand, three hundred fifty-two".