38365375130667 has 72 divisors (see below), whose sum is σ = 61896630742128. Its totient is φ = 22762783008000.

The previous prime is 38365375130653. The next prime is 38365375130671. The reversal of 38365375130667 is 76603157356383.

38365375130667 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 53 + 7 + 513 + 0 + 6 + 67 = 666.

It is not a de Polignac number, because 38365375130667 - 2¹⁰ = 38365375129643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38365375130767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68698192 + ... + 69254402.

It is an arithmetic number, because the mean of its divisors is an integer number (859675426974).

Almost surely, 2^{38365375130667} is an apocalyptic number.

38365375130667 is a deficient number, since it is larger than the sum of its proper divisors (23531255611461).

38365375130667 is a wasteful number, since it uses less digits than its factorization.

38365375130667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556989 (or 556957 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 38365375130667 in words is "thirty-eight trillion, three hundred sixty-five billion, three hundred seventy-five million, one hundred thirty thousand, six hundred sixty-seven".