282074416416 has 192 divisors, whose sum is σ = 904855795200. Its totient is φ = 84945328128.

The previous prime is 282074416397. The next prime is 282074416433. The reversal of 282074416416 is 614614470282.

282074416416 is a `hidden beast` number, since 28 + 207 + 4 + 4 + 1 + 6 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260740 + ... + 795068.

It is an arithmetic number, because the mean of its divisors is an integer number (4712790600).

Almost surely, 2^282074416416 is an apocalyptic number.

282074416416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282074416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452427897600).

282074416416 is an abundant number, since it is smaller than the sum of its proper divisors (622781378784).

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

282074416416 is a wasteful number, since it uses less digits than its factorization.

282074416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534408 (or 534394 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 282074416416 its reverse (614614470282), we get a palindrome (896688886698).

The spelling of 282074416416 in words is "two hundred eighty-two billion, seventy-four million, four hundred sixteen thousand, four hundred sixteen".