283382326656 has 1024 divisors, whose sum is σ = 1036385280000. Its totient is φ = 75047731200.

The previous prime is 283382326651. The next prime is 283382326691. The reversal of 283382326656 is 656623283382.

283382326656 is a `hidden beast` number, since 28 + 338 + 23 + 266 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14929920) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283382326651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 811983570 + ... + 811983918.

It is an arithmetic number, because the mean of its divisors is an integer number (1012095000).

Almost surely, 2^283382326656 is an apocalyptic number.

283382326656 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 283382326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640000).

283382326656 is an abundant number, since it is smaller than the sum of its proper divisors (753002953344).

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

283382326656 is a wasteful number, since it uses less digits than its factorization.

283382326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 283382326656 in words is "two hundred eighty-three billion, three hundred eighty-two million, three hundred twenty-six thousand, six hundred fifty-six".