282132494784 has 504 divisors, whose sum is σ = 984600133920. Its totient is φ = 76870176768.

The previous prime is 282132494783. The next prime is 282132494797. The reversal of 282132494784 is 487494231282.

282132494784 is a `hidden beast` number, since 2 + 82 + 1 + 3 + 2 + 494 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×282132494784² (a number of 24 digits) contains 22 as substring.

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 282132494784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282132494783) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397929822 + ... + 397930530.

Almost surely, 2^282132494784 is an apocalyptic number.

282132494784 is a gapful number since it is divisible by the number (24) 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 282132494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492300066960).

282132494784 is an abundant number, since it is smaller than the sum of its proper divisors (702467639136).

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

282132494784 is a wasteful number, since it uses less digits than its factorization.

282132494784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1357 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 282132494784 in words is "two hundred eighty-two billion, one hundred thirty-two million, four hundred ninety-four thousand, seven hundred eighty-four".