38258676520848 has 720 divisors, whose sum is σ = 129592605542400. Its totient is φ = 10498379673600.

The previous prime is 38258676520847. The next prime is 38258676520871. The reversal of 38258676520848 is 84802567685283.

38258676520848 is a `hidden beast` number, since 3 + 8 + 2 + 58 + 6 + 7 + 6 + 520 + 8 + 48 = 666.

38258676520848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38258676520847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4813013578 + ... + 4813021526.

It is an arithmetic number, because the mean of its divisors is an integer number (179989729920).

Almost surely, 2^{38258676520848} 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 38258676520848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64796302771200).

38258676520848 is an abundant number, since it is smaller than the sum of its proper divisors (91333929021552).

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

38258676520848 is a wasteful number, since it uses less digits than its factorization.

38258676520848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 38258676520848 in words is "thirty-eight trillion, two hundred fifty-eight billion, six hundred seventy-six million, five hundred twenty thousand, eight hundred forty-eight".