283966952256 has 672 divisors, whose sum is σ = 978308513280. Its totient is φ = 80418963456.

The previous prime is 283966952251. The next prime is 283966952263. The reversal of 283966952256 is 652259669382.

283966952256 is a `hidden beast` number, since 28 + 39 + 6 + 6 + 9 + 522 + 56 = 666.

It is a super-2 number, since 2×283966952256² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 283966952193 and 283966952202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283966952251) 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, 233332960 + ... + 233334176.

It is an arithmetic number, because the mean of its divisors is an integer number (1455816240).

Almost surely, 2^283966952256 is an apocalyptic number.

283966952256 is a gapful number since it is divisible by the number (26) 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 283966952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489154256640).

283966952256 is an abundant number, since it is smaller than the sum of its proper divisors (694341561024).

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

283966952256 is a wasteful number, since it uses less digits than its factorization.

283966952256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1299 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 283966952256 in words is "two hundred eighty-three billion, nine hundred sixty-six million, nine hundred fifty-two thousand, two hundred fifty-six".