368508488401 has 3 divisors (see below), whose sum is σ = 368509095451. Its totient is φ = 368507881352.

The previous prime is 368508488399. The next prime is 368508488429. The reversal of 368508488401 is 104884805863.

The square root of 368508488401 is 607049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 104884805863 = 131 ⋅800647373.

It can be written as a sum of positive squares in only one way, i.e., 48333582801 + 320174905600 = 219849^2 + 565840^2 .

It is not a de Polignac number, because 368508488401 - 2¹ = 368508488399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368508488461) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 303525 + ... + 910573.

Almost surely, 2^368508488401 is an apocalyptic number.

368508488401 is the 607049-th square number.

368508488401 is the 303525-th centered octagonal number.

It is an amenable number.

368508488401 is a deficient number, since it is larger than the sum of its proper divisors (607050).

368508488401 is an frugal number, since it uses more digits than its factorization.

368508488401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214098 (or 607049 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 55.

The spelling of 368508488401 in words is "three hundred sixty-eight billion, five hundred eight million, four hundred eighty-eight thousand, four hundred one".