38746057873151 has 2 divisors, whose sum is σ = 38746057873152. Its totient is φ = 38746057873150.

The previous prime is 38746057873129. The next prime is 38746057873157. The reversal of 38746057873151 is 15137875064783.

It is a happy number.

38746057873151 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 an emirp because it is prime and its reverse (15137875064783) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38746057873151 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38746057873157) 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, 19373028936575 + 19373028936576.

It is an arithmetic number, because the mean of its divisors is an integer number (19373028936576).

Almost surely, 2^{38746057873151} is an apocalyptic number.

38746057873151 is a deficient number, since it is larger than the sum of its proper divisors (1).

38746057873151 is an equidigital number, since it uses as much as digits as its factorization.

38746057873151 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118540800, while the sum is 65.

The spelling of 38746057873151 in words is "thirty-eight trillion, seven hundred forty-six billion, fifty-seven million, eight hundred seventy-three thousand, one hundred fifty-one".