38151913724065 has 16 divisors (see below), whose sum is σ = 45870391763280. Its totient is φ = 30462856437760.

The previous prime is 38151913724047. The next prime is 38151913724069. The reversal of 38151913724065 is 56042731915183.

38151913724065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1743445596816 + 36408468127249 = 1320396^2 + 6033943^2 .

It is not a de Polignac number, because 38151913724065 - 2¹³ = 38151913715873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38151913723997 and 38151913724015.

It is not an unprimeable number, because it can be changed into a prime (38151913724069) 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 in 15 ways as a sum of consecutive naturals, for example, 2008377 + ... + 8963113.

It is an arithmetic number, because the mean of its divisors is an integer number (2866899485205).

It is a 1-persistent number, because it is pandigital, but 2⋅38151913724065 = 76303827448130 is not.

Almost surely, 2^{38151913724065} is an apocalyptic number.

It is an amenable number.

38151913724065 is a deficient number, since it is larger than the sum of its proper divisors (7718478039215).

38151913724065 is a wasteful number, since it uses less digits than its factorization.

38151913724065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956852.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 38151913724065 in words is "thirty-eight trillion, one hundred fifty-one billion, nine hundred thirteen million, seven hundred twenty-four thousand, sixty-five".