282988835241984 has 375 divisors, whose sum is σ = 840232245258263. Its totient is φ = 91780162781184.

The previous prime is 282988835241977. The next prime is 282988835242031. The reversal of 282988835241984 is 489142538889282.

The square root of 282988835241984 is 16822272.

It is a perfect power (a square), and thus also a powerful number.

282988835241984 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 8 + 8 + 8 + 3 + 524 + 1 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176446802755584 + 106542032486400 = 13283328^2 + 10321920^2 .

It is a super-2 number, since 2×282988835241984² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7648346898414 + ... + 7648346898450.

Almost surely, 2^{282988835241984} is an apocalyptic number.

282988835241984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

282988835241984 is the 16822272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282988835241984

282988835241984 is an abundant number, since it is smaller than the sum of its proper divisors (557243410016279).

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

282988835241984 is an frugal number, since it uses more digits than its factorization.

282988835241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 42 counting only the distinct ones).

The product of its digits is 5096079360, while the sum is 81.

The spelling of 282988835241984 in words is "two hundred eighty-two trillion, nine hundred eighty-eight billion, eight hundred thirty-five million, two hundred forty-one thousand, nine hundred eighty-four".