1845927105201 has 15 divisors (see below), whose sum is σ = 2757514312443. Its totient is φ = 1230609918240.

The previous prime is 1845927105179. The next prime is 1845927105241. The reversal of 1845927105201 is 1025017295481.

The square root of 1845927105201 is 1358649.

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

1845927105201 is a `hidden beast` number, since 1 + 8 + 4 + 59 + 2 + 71 + 0 + 520 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1538966783601 + 306960321600 = 1240551^2 + 554040^2 .

It is not a de Polignac number, because 1845927105201 - 2³⁷ = 1708488151729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1845927105241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12152361 + ... + 12303321.

Almost surely, 2^{1845927105201} is an apocalyptic number.

1845927105201 is the 1358649-th square number.

1845927105201 is the 679325-th centered octagonal number.

It is an amenable number.

1845927105201 is a deficient number, since it is larger than the sum of its proper divisors (911587207242).

1845927105201 is an frugal number, since it uses more digits than its factorization.

1845927105201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301934 (or 150964 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1845927105201 in words is "one trillion, eight hundred forty-five billion, nine hundred twenty-seven million, one hundred five thousand, two hundred one".