282072526452 has 288 divisors, whose sum is σ = 799583436288. Its totient is φ = 83448410112.

The previous prime is 282072526451. The next prime is 282072526453. The reversal of 282072526452 is 254625270282.

282072526452 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 72 + 526 + 4 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (282072526451) and next prime (282072526453).

It is a junction number, because it is equal to n+sod(n) for n = 282072526398 and 282072526407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282072526451) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 113875438 + ... + 113877914.

It is an arithmetic number, because the mean of its divisors is an integer number (2776331376).

Almost surely, 2^282072526452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282072526452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399791718144).

282072526452 is an abundant number, since it is smaller than the sum of its proper divisors (517510909836).

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

282072526452 is a wasteful number, since it uses less digits than its factorization.

282072526452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 282072526452 in words is "two hundred eighty-two billion, seventy-two million, five hundred twenty-six thousand, four hundred fifty-two".