38753857845 has 192 divisors, whose sum is σ = 73047199680. Its totient is φ = 18977587200.

The previous prime is 38753857823. The next prime is 38753857853. The reversal of 38753857845 is 54875835783.

38753857845 is a `hidden beast` number, since 3 + 8 + 7 + 53 + 8 + 578 + 4 + 5 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 38262880881 + 490976964 = 195609^2 + 22158^2 .

It is not a de Polignac number, because 38753857845 - 2⁷ = 38753857717 is a prime.

It is a super-2 number, since 2×38753857845² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 435436561 + ... + 435436649.

It is an arithmetic number, because the mean of its divisors is an integer number (380454165).

Almost surely, 2^38753857845 is an apocalyptic number.

It is an amenable number.

38753857845 is a deficient number, since it is larger than the sum of its proper divisors (34293341835).

38753857845 is a wasteful number, since it uses less digits than its factorization.

38753857845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 38753857845 in words is "thirty-eight billion, seven hundred fifty-three million, eight hundred fifty-seven thousand, eight hundred forty-five".