45836434008121 has 9 divisors (see below), whose sum is σ = 45896015104941. Its totient is φ = 45776930184192.

The previous prime is 45836434008077. The next prime is 45836434008161. The reversal of 45836434008121 is 12180043463854.

The square root of 45836434008121 is 6770261.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1062938318121 + 44773495690000 = 1030989^2 + 6691300^2 .

It is not a de Polignac number, because 45836434008121 - 2¹¹ = 45836434006073 is a prime.

It is a super-2 number, since 2×45836434008121² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45836434008161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5775028665 + ... + 5775036601.

Almost surely, 2^{45836434008121} is an apocalyptic number.

45836434008121 is the 6770261-st square number.

45836434008121 is the 3385131-st centered octagonal number.

It is an amenable number.

45836434008121 is a deficient number, since it is larger than the sum of its proper divisors (59581096820).

45836434008121 is an frugal number, since it uses more digits than its factorization.

45836434008121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17580 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 45836434008121 in words is "forty-five trillion, eight hundred thirty-six billion, four hundred thirty-four million, eight thousand, one hundred twenty-one".