368152519664601 has 81 divisors (see below), whose sum is σ = 620136428936661. Its totient is φ = 209850436548144.

The previous prime is 368152519664599. The next prime is 368152519664639. The reversal of 368152519664601 is 106466915251863.

The square root of 368152519664601 is 19187301.

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

368152519664601 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 5 + 2 + 5 + 19 + 6 + 6 + 4 + 601 = 666.

It is not a de Polignac number, because 368152519664601 - 2¹ = 368152519664599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (368152519664681) 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 80 ways as a sum of consecutive naturals, for example, 210734126010 + ... + 210734127756.

Almost surely, 2^{368152519664601} is an apocalyptic number.

368152519664601 is the 19187301-st square number.

368152519664601 is the 9593651-st centered octagonal number.

It is an amenable number.

368152519664601 is a deficient number, since it is larger than the sum of its proper divisors (251983909272060).

368152519664601 is an frugal number, since it uses more digits than its factorization.

368152519664601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 368152519664601 in words is "three hundred sixty-eight trillion, one hundred fifty-two billion, five hundred nineteen million, six hundred sixty-four thousand, six hundred one".