8046293886801 has 27 divisors (see below), whose sum is σ = 11653544605521. Its totient is φ = 5349871099584.

The previous prime is 8046293886773. The next prime is 8046293886811. The reversal of 8046293886801 is 1086883926408.

The square root of 8046293886801 is 2836599.

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

8046293886801 is a `hidden beast` number, since 8 + 0 + 462 + 93 + 8 + 8 + 6 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7503890625 + 8038789996176 = 86625^2 + 2835276^2 .

It is not a de Polignac number, because 8046293886801 - 2¹⁷ = 8046293755729 is a prime.

It is a super-2 number, since 2×8046293886801² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8046293886811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3888976195 + ... + 3888978263.

Almost surely, 2^{8046293886801} is an apocalyptic number.

8046293886801 is the 2836599-th square number.

8046293886801 is the 1418300-th centered octagonal number.

It is an amenable number.

8046293886801 is a deficient number, since it is larger than the sum of its proper divisors (3607250718720).

8046293886801 is an frugal number, since it uses more digits than its factorization.

8046293886801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 8046293886801 in words is "eight trillion, forty-six billion, two hundred ninety-three million, eight hundred eighty-six thousand, eight hundred one".