38729021184001 has 2 divisors, whose sum is σ = 38729021184002. Its totient is φ = 38729021184000.

The previous prime is 38729021183891. The next prime is 38729021184041. The reversal of 38729021184001 is 10048112092783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36992426979600 + 1736594204401 = 6082140^2 + 1317799^2 .

It is a cyclic number.

It is not a de Polignac number, because 38729021184001 - 2¹¹ = 38729021181953 is a prime.

It is not a weakly prime, because it can be changed into another prime (38729021184041) 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 as a sum of consecutive naturals, namely, 19364510592000 + 19364510592001.

It is an arithmetic number, because the mean of its divisors is an integer number (19364510592001).

Almost surely, 2^{38729021184001} is an apocalyptic number.

It is an amenable number.

38729021184001 is a deficient number, since it is larger than the sum of its proper divisors (1).

38729021184001 is an equidigital number, since it uses as much as digits as its factorization.

38729021184001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 38729021184001 in words is "thirty-eight trillion, seven hundred twenty-nine billion, twenty-one million, one hundred eighty-four thousand, one".