38401375647601 has 2 divisors, whose sum is σ = 38401375647602. Its totient is φ = 38401375647600.

The previous prime is 38401375647527. The next prime is 38401375647623. The reversal of 38401375647601 is 10674657310483.

38401375647601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38002305489201 + 399070158400 = 6164601^2 + 631720^2 .

It is a cyclic number.

It is not a de Polignac number, because 38401375647601 - 2¹⁷ = 38401375516529 is a prime.

It is not a weakly prime, because it can be changed into another prime (38401375647301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200687823800 + 19200687823801.

It is an arithmetic number, because the mean of its divisors is an integer number (19200687823801).

Almost surely, 2^{38401375647601} is an apocalyptic number.

It is an amenable number.

38401375647601 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401375647601 is an equidigital number, since it uses as much as digits as its factorization.

38401375647601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 38401375647601 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, six hundred forty-seven thousand, six hundred one".