38616128130048 has 1408 divisors, whose sum is σ = 126572593152000. Its totient is φ = 10454957162496.

The previous prime is 38616128130037. The next prime is 38616128130077. The reversal of 38616128130048 is 84003182161683.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304064000961 + ... + 304064001087.

Almost surely, 2^{38616128130048} 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 38616128130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63286296576000).

38616128130048 is an abundant number, since it is smaller than the sum of its proper divisors (87956465021952).

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

38616128130048 is a wasteful number, since it uses less digits than its factorization.

38616128130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 38616128130048 in words is "thirty-eight trillion, six hundred sixteen billion, one hundred twenty-eight million, one hundred thirty thousand, forty-eight".