3626126169121 has 9 divisors (see below), whose sum is σ = 3790684294579. Its totient is φ = 3468426616336.

The previous prime is 3626126169101. The next prime is 3626126169163. The reversal of 3626126169121 is 1219616216263.

The square root of 3626126169121 is 1904239.

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., 3167883821025 + 458242348096 = 1779855^2 + 676936^2 .

It is not a de Polignac number, because 3626126169121 - 2¹¹ = 3626126167073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3626126169101) 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 8 ways as a sum of consecutive naturals, for example, 43756101 + ... + 43838893.

Almost surely, 2^{3626126169121} is an apocalyptic number.

3626126169121 is the 1904239-th square number.

3626126169121 is the 952120-th centered octagonal number.

It is an amenable number.

3626126169121 is a deficient number, since it is larger than the sum of its proper divisors (164558125458).

3626126169121 is an frugal number, since it uses more digits than its factorization.

3626126169121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165632 (or 82816 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The spelling of 3626126169121 in words is "three trillion, six hundred twenty-six billion, one hundred twenty-six million, one hundred sixty-nine thousand, one hundred twenty-one".