283946668992 has 560 divisors, whose sum is σ = 1019547587520. Its totient is φ = 76408012800.

The previous prime is 283946668933. The next prime is 283946669023. The reversal of 283946668992 is 299866649382.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 283946668992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43143142 + ... + 43149722.

It is an arithmetic number, because the mean of its divisors is an integer number (1820620692).

Almost surely, 2^283946668992 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 283946668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509773793760).

283946668992 is an abundant number, since it is smaller than the sum of its proper divisors (735600918528).

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

283946668992 is a wasteful number, since it uses less digits than its factorization.

283946668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6663 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 283946668992 in words is "two hundred eighty-three billion, nine hundred forty-six million, six hundred sixty-eight thousand, nine hundred ninety-two".