38863182978048 has 2112 divisors, whose sum is σ = 137747680358400. Its totient is φ = 9606109593600.

The previous prime is 38863182978047. The next prime is 38863182978077. The reversal of 38863182978048 is 84087928136883.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38863182978047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111355824978 + ... + 111355825326.

Almost surely, 2^{38863182978048} 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 38863182978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68873840179200).

38863182978048 is an abundant number, since it is smaller than the sum of its proper divisors (98884497380352).

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

38863182978048 is a wasteful number, since it uses less digits than its factorization.

38863182978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 75.

The spelling of 38863182978048 in words is "thirty-eight trillion, eight hundred sixty-three billion, one hundred eighty-two million, nine hundred seventy-eight thousand, forty-eight".