1705684683906 has 24 divisors (see below), whose sum is σ = 4223600169984. Its totient is φ = 487338481080.

The previous prime is 1705684683893. The next prime is 1705684683917. The reversal of 1705684683906 is 6093864865071.

1705684683906 is a `hidden beast` number, since 1 + 7 + 0 + 568 + 4 + 68 + 3 + 9 + 0 + 6 = 666.

It is a super-4 number, since 4×1705684683906⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6768589890 + ... + 6768590141.

It is an arithmetic number, because the mean of its divisors is an integer number (175983340416).

Almost surely, 2^{1705684683906} is an apocalyptic number.

1705684683906 is an abundant number, since it is smaller than the sum of its proper divisors (2517915486078).

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

1705684683906 is a wasteful number, since it uses less digits than its factorization.

1705684683906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537180046 (or 13537180043 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1705684683906 in words is "one trillion, seven hundred five billion, six hundred eighty-four million, six hundred eighty-three thousand, nine hundred six".