3468686478481 has 45 divisors (see below), whose sum is σ = 4088401426473. Its totient is φ = 2942731277640.

The previous prime is 3468686478473. The next prime is 3468686478577. The reversal of 3468686478481 is 1848746868643.

The square root of 3468686478481 is 1862441.

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

It is not a de Polignac number, because 3468686478481 - 2³ = 3468686478473 is a prime.

It is a super-2 number, since 2×3468686478481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3468686478781) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17430585220 + ... + 17430585418.

Almost surely, 2^{3468686478481} is an apocalyptic number.

3468686478481 is the 1862441-st square number.

3468686478481 is the 931221-st centered octagonal number.

It is an amenable number.

3468686478481 is a deficient number, since it is larger than the sum of its proper divisors (619714947992).

3468686478481 is an frugal number, since it uses more digits than its factorization.

3468686478481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 397 counting only the distinct ones).

The product of its digits is 1189085184, while the sum is 73.

The spelling of 3468686478481 in words is "three trillion, four hundred sixty-eight billion, six hundred eighty-six million, four hundred seventy-eight thousand, four hundred eighty-one".