206783231734464 has 2016 divisors, whose sum is σ = 764638543872000. Its totient is φ = 48206721024000.

The previous prime is 206783231734459. The next prime is 206783231734483. The reversal of 206783231734464 is 464437132387602.

It is a junction number, because it is equal to n+sod(n) for n = 206783231734398 and 206783231734407.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103443336537 + ... + 103443338535.

It is an arithmetic number, because the mean of its divisors is an integer number (379284992000).

Almost surely, 2^{206783231734464} is an apocalyptic number.

206783231734464 is a gapful number since it is divisible by the number (24) 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 206783231734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382319271936000).

206783231734464 is an abundant number, since it is smaller than the sum of its proper divisors (557855312137536).

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

206783231734464 is a wasteful number, since it uses less digits than its factorization.

206783231734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 60.

The spelling of 206783231734464 in words is "two hundred six trillion, seven hundred eighty-three billion, two hundred thirty-one million, seven hundred thirty-four thousand, four hundred sixty-four".