283968220495680 has 448 divisors, whose sum is σ = 1181819616706560. Its totient is φ = 62813246515200.

The previous prime is 283968220495667. The next prime is 283968220495699. The reversal of 283968220495680 is 86594022869382.

283968220495680 is a `hidden beast` number, since 2 + 8 + 39 + 6 + 8 + 2 + 20 + 4 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 283968220495599 and 283968220495608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73854826 + ... + 77604585.

Almost surely, 2^{283968220495680} is an apocalyptic number.

283968220495680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283968220495680 is an abundant number, since it is smaller than the sum of its proper divisors (897851396210880).

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

283968220495680 is a wasteful number, since it uses less digits than its factorization.

283968220495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151459475 (or 151459459 counting only the distinct ones).

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

The spelling of 283968220495680 in words is "two hundred eighty-three trillion, nine hundred sixty-eight billion, two hundred twenty million, four hundred ninety-five thousand, six hundred eighty".