282981206737152 has 864 divisors, whose sum is σ = 1071013565905920. Its totient is φ = 69617281351680.

The previous prime is 282981206737139. The next prime is 282981206737181. The reversal of 282981206737152 is 251737602189282.

282981206737152 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 8 + 1 + 206 + 7 + 371 + 52 = 666.

It is a super-2 number, since 2×282981206737152² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 282981206737152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23200879918 + ... + 23200892114.

Almost surely, 2^{282981206737152} is an apocalyptic number.

282981206737152 is a gapful number since it is divisible by the number (22) 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 282981206737152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535506782952960).

282981206737152 is an abundant number, since it is smaller than the sum of its proper divisors (788032359168768).

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

282981206737152 is a wasteful number, since it uses less digits than its factorization.

282981206737152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19139 (or 19122 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 282981206737152 in words is "two hundred eighty-two trillion, nine hundred eighty-one billion, two hundred six million, seven hundred thirty-seven thousand, one hundred fifty-two".