1858126123161 has 225 divisors, whose sum is σ = 3571996534799. Its totient is φ = 961825233600.

The previous prime is 1858126123121. The next prime is 1858126123229. The reversal of 1858126123161 is 1613216218581.

The square root of 1858126123161 is 1363131.

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

1858126123161 is a `hidden beast` number, since 1 + 8 + 5 + 8 + 12 + 612 + 3 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1255701777561 + 602424345600 = 1120581^2 + 776160^2 .

It is not a de Polignac number, because 1858126123161 - 2¹⁷ = 1858125992089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1858126123121) 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 224 ways as a sum of consecutive naturals, for example, 6612548341 + ... + 6612548621.

Almost surely, 2^{1858126123161} is an apocalyptic number.

1858126123161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1858126123161 is the 1363131-st square number.

1858126123161 is the 681566-th centered octagonal number.

It is an amenable number.

1858126123161 is a deficient number, since it is larger than the sum of its proper divisors (1713870411638).

1858126123161 is an frugal number, since it uses more digits than its factorization.

1858126123161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 302 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 1858126123161 in words is "one trillion, eight hundred fifty-eight billion, one hundred twenty-six million, one hundred twenty-three thousand, one hundred sixty-one".