11851832137201 has 27 divisors (see below), whose sum is σ = 13882995785547. Its totient is φ = 10088338629600.

The previous prime is 11851832137163. The next prime is 11851832137231. The reversal of 11851832137201 is 10273123815811.

The square root of 11851832137201 is 3442649.

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

It can be written as a sum of positive squares in only one way, i.e., 10156044791025 + 1695787346176 = 3186855^2 + 1302224^2 .

It is not a de Polignac number, because 11851832137201 - 2⁹ = 11851832136689 is a prime.

It is a super-2 number, since 2×11851832137201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11851832137231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3638878365 + ... + 3638881621.

Almost surely, 2^{11851832137201} is an apocalyptic number.

11851832137201 is the 3442649-th square number.

11851832137201 is the 1721325-th centered octagonal number.

It is an amenable number.

11851832137201 is a deficient number, since it is larger than the sum of its proper divisors (2031163648346).

11851832137201 is an frugal number, since it uses more digits than its factorization.

11851832137201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 11851832137201 in words is "eleven trillion, eight hundred fifty-one billion, eight hundred thirty-two million, one hundred thirty-seven thousand, two hundred one".