38766645848448 has 384 divisors, whose sum is σ = 129339279014400. Its totient is φ = 10916455587840.

The previous prime is 38766645848407. The next prime is 38766645848467. The reversal of 38766645848448 is 84484854666783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223116615 + ... + 223290297.

It is an arithmetic number, because the mean of its divisors is an integer number (336821039100).

Almost surely, 2^{38766645848448} 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 38766645848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64669639507200).

38766645848448 is an abundant number, since it is smaller than the sum of its proper divisors (90572633165952).

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

38766645848448 is a wasteful number, since it uses less digits than its factorization.

38766645848448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174110 (or 174095 counting only the distinct ones).

The product of its digits is 23781703680, while the sum is 81.

The spelling of 38766645848448 in words is "thirty-eight trillion, seven hundred sixty-six billion, six hundred forty-five million, eight hundred forty-eight thousand, four hundred forty-eight".