283225617648680 has 128 divisors (see below), whose sum is σ = 735354906451200. Its totient is φ = 96165158350848.

The previous prime is 283225617648643. The next prime is 283225617648731. The reversal of 283225617648680 is 86846716522382.

It is a super-3 number, since 3×283225617648680³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 283225617648680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85162526 + ... + 88425714.

It is an arithmetic number, because the mean of its divisors is an integer number (5744960206650).

Almost surely, 2^{283225617648680} is an apocalyptic number.

283225617648680 is a gapful number since it is divisible by the number (20) 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 283225617648680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367677453225600).

283225617648680 is an abundant number, since it is smaller than the sum of its proper divisors (452129288802520).

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

283225617648680 is a wasteful number, since it uses less digits than its factorization.

283225617648680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266211 (or 3266207 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 68.

The spelling of 283225617648680 in words is "two hundred eighty-three trillion, two hundred twenty-five billion, six hundred seventeen million, six hundred forty-eight thousand, six hundred eighty".