282815494416 has 405 divisors, whose sum is σ = 999037067301. Its totient is φ = 74435542272.

The previous prime is 282815494369. The next prime is 282815494417. The reversal of 282815494416 is 614494518282.

The square root of 282815494416 is 531804.

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

282815494416 is a `hidden beast` number, since 2 + 8 + 2 + 81 + 549 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41836611600 + 240978882816 = 204540^2 + 490896^2 .

Its product of digits (4423680) is a multiple of the sum of its prime divisors (512).

It is not an unprimeable number, because it can be changed into a prime (282815494417) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 580729725 + ... + 580730211.

Almost surely, 2^282815494416 is an apocalyptic number.

282815494416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

282815494416 is the 531804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282815494416

282815494416 is an abundant number, since it is smaller than the sum of its proper divisors (716221572885).

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

282815494416 is a wasteful number, since it uses less digits than its factorization.

282815494416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 512 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 282815494416 in words is "two hundred eighty-two billion, eight hundred fifteen million, four hundred ninety-four thousand, four hundred sixteen".