30186662189121 has 45 divisors (see below), whose sum is σ = 46169985760371. Its totient is φ = 19655046644688.

The previous prime is 30186662189081. The next prime is 30186662189137. The reversal of 30186662189121 is 12198126668103.

It is a happy number.

The square root of 30186662189121 is 5494239.

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., 29881255640625 + 305406548496 = 5466375^2 + 552636^2 .

It is not a de Polignac number, because 30186662189121 - 2¹⁵ = 30186662156353 is a prime.

It is a super-2 number, since 2×30186662189121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30186662189141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2126263395 + ... + 2126277591.

Almost surely, 2^{30186662189121} is an apocalyptic number.

30186662189121 is the 5494239-th square number.

30186662189121 is the 2747120-th centered octagonal number.

It is an amenable number.

30186662189121 is a deficient number, since it is larger than the sum of its proper divisors (15983323571250).

30186662189121 is an frugal number, since it uses more digits than its factorization.

30186662189121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28492 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 30186662189121 in words is "thirty trillion, one hundred eighty-six billion, six hundred sixty-two million, one hundred eighty-nine thousand, one hundred twenty-one".