283968220495608 has 192 divisors, whose sum is σ = 854118099900000. Its totient is φ = 84513073582080.

The previous prime is 283968220495573. The next prime is 283968220495667. The reversal of 283968220495608 is 806594022869382.

283968220495608 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 6 + 8 + 2 + 2 + 0 + 4 + 9 + 5 + 608 = 666.

It is a super-2 number, since 2×283968220495608² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3016093 + ... + 24021516.

Almost surely, 2^{283968220495608} 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 283968220495608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427059049950000).

283968220495608 is an abundant number, since it is smaller than the sum of its proper divisors (570149879404392).

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

283968220495608 is a wasteful number, since it uses less digits than its factorization.

283968220495608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27037870 (or 27037863 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 283968220495608 in words is "two hundred eighty-three trillion, nine hundred sixty-eight billion, two hundred twenty million, four hundred ninety-five thousand, six hundred eight".