38537746487825 has 48 divisors (see below), whose sum is σ = 53241543416880. Its totient is φ = 27475115781120.

The previous prime is 38537746487791. The next prime is 38537746487837. The reversal of 38537746487825 is 52878464773583.

It can be written as a sum of positive squares in 24 ways, for example, as 15543534915841 + 22994211571984 = 3942529^2 + 4795228^2 .

It is not a de Polignac number, because 38537746487825 - 2²⁸ = 38537478052369 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122716907 + ... + 123030543.

It is an arithmetic number, because the mean of its divisors is an integer number (1109198821185).

Almost surely, 2^{38537746487825} is an apocalyptic number.

It is an amenable number.

38537746487825 is a deficient number, since it is larger than the sum of its proper divisors (14703796929055).

38537746487825 is a wasteful number, since it uses less digits than its factorization.

38537746487825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326726 (or 326721 counting only the distinct ones).

The product of its digits is 7586611200, while the sum is 77.

The spelling of 38537746487825 in words is "thirty-eight trillion, five hundred thirty-seven billion, seven hundred forty-six million, four hundred eighty-seven thousand, eight hundred twenty-five".