283242493391616 has 576 divisors, whose sum is σ = 943418368327680. Its totient is φ = 83044735488000.

The previous prime is 283242493391567. The next prime is 283242493391633. The reversal of 283242493391616 is 616193394242382.

283242493391616 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 4 + 2 + 4 + 9 + 3 + 3 + 9 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14780687251 + ... + 14780706413.

It is an arithmetic number, because the mean of its divisors is an integer number (1637879111680).

Almost surely, 2^{283242493391616} 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 283242493391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471709184163840).

283242493391616 is an abundant number, since it is smaller than the sum of its proper divisors (660175874936064).

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

283242493391616 is a wasteful number, since it uses less digits than its factorization.

283242493391616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25501 (or 25481 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 283242493391616 in words is "two hundred eighty-three trillion, two hundred forty-two billion, four hundred ninety-three million, three hundred ninety-one thousand, six hundred sixteen".