37624666734121 has 2 divisors, whose sum is σ = 37624666734122. Its totient is φ = 37624666734120.

The previous prime is 37624666734119. The next prime is 37624666734139. The reversal of 37624666734121 is 12143766642673.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37452992413225 + 171674320896 = 6119885^2 + 414336^2 .

It is a cyclic number.

It is not a de Polignac number, because 37624666734121 - 2¹ = 37624666734119 is a prime.

It is a super-2 number, since 2×37624666734121² (a number of 28 digits) contains 22 as substring.

Together with 37624666734119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (37624666738121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18812333367060 + 18812333367061.

It is an arithmetic number, because the mean of its divisors is an integer number (18812333367061).

Almost surely, 2^{37624666734121} is an apocalyptic number.

It is an amenable number.

37624666734121 is a deficient number, since it is larger than the sum of its proper divisors (1).

37624666734121 is an equidigital number, since it uses as much as digits as its factorization.

37624666734121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36578304, while the sum is 58.

The spelling of 37624666734121 in words is "thirty-seven trillion, six hundred twenty-four billion, six hundred sixty-six million, seven hundred thirty-four thousand, one hundred twenty-one".