38578216248 has 256 divisors, whose sum is σ = 128036160000. Its totient is φ = 10607708160.

The previous prime is 38578216213. The next prime is 38578216333. The reversal of 38578216248 is 84261287583.

38578216248 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 8 + 2 + 1 + 624 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38578216194 and 38578216203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811808 + ... + 1832976.

It is an arithmetic number, because the mean of its divisors is an integer number (500141250).

Almost surely, 2^38578216248 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 38578216248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018080000).

38578216248 is an abundant number, since it is smaller than the sum of its proper divisors (89457943752).

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

38578216248 is a wasteful number, since it uses less digits than its factorization.

38578216248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21267 (or 21257 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 38578216248 in words is "thirty-eight billion, five hundred seventy-eight million, two hundred sixteen thousand, two hundred forty-eight".