38217111636001 has 15 divisors (see below), whose sum is σ = 40607550862293. Its totient is φ = 35967364741920.

The previous prime is 38217111635957. The next prime is 38217111636007. The reversal of 38217111636001 is 10063611171283.

The square root of 38217111636001 is 6181999.

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

It can be written as a sum of positive squares in 2 ways, for example, as 11860798490401 + 26356313145600 = 3443951^2 + 5133840^2 .

It is not a de Polignac number, because 38217111636001 - 2⁷ = 38217111635873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38217111636007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1786587016 + ... + 1786608406.

Almost surely, 2^{38217111636001} is an apocalyptic number.

38217111636001 is the 6181999-th square number.

38217111636001 is the 3091000-th centered octagonal number.

It is an amenable number.

38217111636001 is a deficient number, since it is larger than the sum of its proper divisors (2390439226292).

38217111636001 is an frugal number, since it uses more digits than its factorization.

38217111636001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42850 (or 21408 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 38217111636001 in words is "thirty-eight trillion, two hundred seventeen billion, one hundred eleven million, six hundred thirty-six thousand, one".