693805661916481 has 27 divisors (see below), whose sum is σ = 740086389275113. Its totient is φ = 650286635408000.

The previous prime is 693805661916461. The next prime is 693805661916487. The reversal of 693805661916481 is 184619166508396.

It is a happy number.

The square root of 693805661916481 is 26340191.

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

It can be written as a sum of positive squares in 4 ways, for example, as 105177515960881 + 588628145955600 = 10255609^2 + 24261660^2 .

It is not a de Polignac number, because 693805661916481 - 2¹⁷ = 693805661785409 is a prime.

It is a super-2 number, since 2×693805661916481² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (693805661916487) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112393591911 + ... + 112393598083.

Almost surely, 2^{693805661916481} is an apocalyptic number.

693805661916481 is the 26340191-st square number.

693805661916481 is the 13170096-th centered octagonal number.

It is an amenable number.

693805661916481 is a deficient number, since it is larger than the sum of its proper divisors (46280727358632).

693805661916481 is an frugal number, since it uses more digits than its factorization.

693805661916481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 73.

The spelling of 693805661916481 in words is "six hundred ninety-three trillion, eight hundred five billion, six hundred sixty-one million, nine hundred sixteen thousand, four hundred eighty-one".