705418571664 has 45 divisors (see below), whose sum is σ = 1974220459419. Its totient is φ = 235136164320.

The previous prime is 705418571659. The next prime is 705418571713. The reversal of 705418571664 is 466175814507.

The square root of 705418571664 is 839892.

It is a perfect power (a square), and thus also a powerful number.

705418571664 is a `hidden beast` number, since 7 + 0 + 5 + 4 + 1 + 8 + 571 + 6 + 64 = 666.

It is a super-2 number, since 2×705418571664² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 705418571664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10043709 + ... + 10113699.

Almost surely, 2^705418571664 is an apocalyptic number.

705418571664 is the 839892-nd square number.

It is an amenable number.

705418571664 is an abundant number, since it is smaller than the sum of its proper divisors (1268801887755).

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

705418571664 is an frugal number, since it uses more digits than its factorization.

705418571664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139996 (or 69996 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 705418571664 in words is "seven hundred five billion, four hundred eighteen million, five hundred seventy-one thousand, six hundred sixty-four".