38401377574319 has 2 divisors, whose sum is σ = 38401377574320. Its totient is φ = 38401377574318.

The previous prime is 38401377574271. The next prime is 38401377574363. The reversal of 38401377574319 is 91347577310483.

38401377574319 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38401377574319 is a prime.

It is a super-2 number, since 2×38401377574319² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38401377576319) 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, 19200688787159 + 19200688787160.

It is an arithmetic number, because the mean of its divisors is an integer number (19200688787160).

Almost surely, 2^{38401377574319} is an apocalyptic number.

38401377574319 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401377574319 is an equidigital number, since it uses as much as digits as its factorization.

38401377574319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53343360, while the sum is 62.

The spelling of 38401377574319 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-seven million, five hundred seventy-four thousand, three hundred nineteen".