283520912256 has 320 divisors, whose sum is σ = 855496097280. Its totient is φ = 93201518592.

The previous prime is 283520912251. The next prime is 283520912273. The reversal of 283520912256 is 652219025382.

It is a super-3 number, since 3×283520912256³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283520912251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259396446 + ... + 259397538.

It is an arithmetic number, because the mean of its divisors is an integer number (2673425304).

Almost surely, 2^283520912256 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 283520912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427748048640).

283520912256 is an abundant number, since it is smaller than the sum of its proper divisors (571975185024).

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

283520912256 is a wasteful number, since it uses less digits than its factorization.

283520912256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 283520912256 in words is "two hundred eighty-three billion, five hundred twenty million, nine hundred twelve thousand, two hundred fifty-six".