323762138001 has 27 divisors (see below), whose sum is σ = 470202417243. Its totient is φ = 214672697280.

The previous prime is 323762137981. The next prime is 323762138059. The reversal of 323762138001 is 100831267323.

The square root of 323762138001 is 569001.

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

323762138001 is a `hidden beast` number, since 3 + 23 + 7 + 621 + 3 + 8 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243491915601 + 80270222400 = 493449^2 + 283320^2 .

It is not a de Polignac number, because 323762138001 - 2¹¹ = 323762135953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (323762138071) 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 26 ways as a sum of consecutive naturals, for example, 411387330 + ... + 411388116.

Almost surely, 2^323762138001 is an apocalyptic number.

323762138001 is the 569001-st square number.

323762138001 is the 284501-st centered octagonal number.

It is an amenable number.

323762138001 is a deficient number, since it is larger than the sum of its proper divisors (146440279242).

323762138001 is an frugal number, since it uses more digits than its factorization.

323762138001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 323762138001 by its sum of digits (36), we get a square (11655436968036 = 3414006²).

The spelling of 323762138001 in words is "three hundred twenty-three billion, seven hundred sixty-two million, one hundred thirty-eight thousand, one".