282226926820608 has 5760 divisors, whose sum is σ = 1225372100198400. Its totient is φ = 62304347750400.

The previous prime is 282226926820607. The next prime is 282226926820613. The reversal of 282226926820608 is 806028629622282.

282226926820608 is a `hidden beast` number, since 282 + 2 + 2 + 6 + 92 + 68 + 206 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282226926820603) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2030409545403 + ... + 2030409545541.

It is an arithmetic number, because the mean of its divisors is an integer number (212738211840).

Almost surely, 2^{282226926820608} is an apocalyptic number.

282226926820608 is a gapful number since it is divisible by the number (28) 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 282226926820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612686050099200).

282226926820608 is an abundant number, since it is smaller than the sum of its proper divisors (943145173377792).

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

282226926820608 is a wasteful number, since it uses less digits than its factorization.

282226926820608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 282226926820608 in words is "two hundred eighty-two trillion, two hundred twenty-six billion, nine hundred twenty-six million, eight hundred twenty thousand, six hundred eight".