282922445951640 has 256 divisors, whose sum is σ = 1028852848857600. Its totient is φ = 68584329331200.

The previous prime is 282922445951573. The next prime is 282922445951659. The reversal of 282922445951640 is 46159544229282.

282922445951640 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 2 + 24 + 4 + 59 + 516 + 40 = 666.

It is a super-2 number, since 2×282922445951640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284278734 + ... + 285272226.

It is an arithmetic number, because the mean of its divisors is an integer number (4018956440850).

Almost surely, 2^{282922445951640} is an apocalyptic number.

282922445951640 is a gapful number since it is divisible by the number (20) 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 282922445951640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514426424428800).

282922445951640 is an abundant number, since it is smaller than the sum of its proper divisors (745930402905960).

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

282922445951640 is a wasteful number, since it uses less digits than its factorization.

282922445951640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017495 (or 1017485 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 282922445951640 in words is "two hundred eighty-two trillion, nine hundred twenty-two billion, four hundred forty-five million, nine hundred fifty-one thousand, six hundred forty".