38749362364448 has 54 divisors (see below), whose sum is σ = 78408001347543. Its totient is φ = 18850407310080.

The previous prime is 38749362364421. The next prime is 38749362364463. The reversal of 38749362364448 is 84446326394783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 38219745212944 + 529617151504 = 6182212^2 + 727748^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4401668.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1302878858 + ... + 1302908598.

Almost surely, 2^{38749362364448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38749362364448

38749362364448 is an abundant number, since it is smaller than the sum of its proper divisors (39658638983095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38749362364448 is an frugal number, since it uses more digits than its factorization.

38749362364448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59566 (or 29780 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 71.

The spelling of 38749362364448 in words is "thirty-eight trillion, seven hundred forty-nine billion, three hundred sixty-two million, three hundred sixty-four thousand, four hundred forty-eight".