38930138801633 has 2 divisors, whose sum is σ = 38930138801634. Its totient is φ = 38930138801632.

The previous prime is 38930138801557. The next prime is 38930138801639. The reversal of 38930138801633 is 33610883103983.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37413566255569 + 1516572546064 = 6116663^2 + 1231492^2 .

It is a cyclic number.

It is not a de Polignac number, because 38930138801633 - 2⁸ = 38930138801377 is a prime.

It is a super-2 number, since 2×38930138801633² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38930138801639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19465069400816 + 19465069400817.

It is an arithmetic number, because the mean of its divisors is an integer number (19465069400817).

Almost surely, 2^{38930138801633} is an apocalyptic number.

It is an amenable number.

38930138801633 is a deficient number, since it is larger than the sum of its proper divisors (1).

38930138801633 is an equidigital number, since it uses as much as digits as its factorization.

38930138801633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 38930138801633 in words is "thirty-eight trillion, nine hundred thirty billion, one hundred thirty-eight million, eight hundred one thousand, six hundred thirty-three".