1968456705 has 8 divisors (see below), whose sum is σ = 3149530752. Its totient is φ = 1049843568.

The previous prime is 1968456661. The next prime is 1968456713. The reversal of 1968456705 is 5076548691.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1968456705 - 2¹⁵ = 1968423937 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65615209 + ... + 65615238.

It is an arithmetic number, because the mean of its divisors is an integer number (393691344).

Almost surely, 2^1968456705 is an apocalyptic number.

1968456705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1968456705 is a deficient number, since it is larger than the sum of its proper divisors (1181074047).

1968456705 is a wasteful number, since it uses less digits than its factorization.

1968456705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131230455.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 1968456705 is about 44367.2931899164. The cubic root of 1968456705 is about 1253.2622425458.

The spelling of 1968456705 in words is "one billion, nine hundred sixty-eight million, four hundred fifty-six thousand, seven hundred five".