36671005924281 has 45 divisors (see below), whose sum is σ = 56152255195839. Its totient is φ = 23849607405600.

The previous prime is 36671005924249. The next prime is 36671005924283. The reversal of 36671005924281 is 18242950017663.

It is a happy number.

The square root of 36671005924281 is 6055659.

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

36671005924281 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 1 + 0 + 0 + 592 + 42 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1767014562681 + 34903991361600 = 1329291^2 + 5907960^2 .

It is not a de Polignac number, because 36671005924281 - 2⁵ = 36671005924249 is a prime.

It is a super-2 number, since 2×36671005924281² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36671005924283) 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 44 ways as a sum of consecutive naturals, for example, 2234529966 + ... + 2234546376.

It is a 1-persistent number, because it is pandigital, but 2⋅36671005924281 = 73342011848562 is not.

Almost surely, 2^{36671005924281} is an apocalyptic number.

36671005924281 is the 6055659-th square number.

36671005924281 is the 3027830-th centered octagonal number.

It is an amenable number.

36671005924281 is a deficient number, since it is larger than the sum of its proper divisors (19481249271558).

36671005924281 is an frugal number, since it uses more digits than its factorization.

36671005924281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32916 (or 16455 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 36671005924281 in words is "thirty-six trillion, six hundred seventy-one billion, five million, nine hundred twenty-four thousand, two hundred eighty-one".