38845036286208 has 216 divisors, whose sum is σ = 113419367425728. Its totient is φ = 12784423735296.

The previous prime is 38845036286113. The next prime is 38845036286233. The reversal of 38845036286208 is 80268263054883.

38845036286208 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 503 + 62 + 8 + 62 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312984741 + ... + 313108827.

It is an arithmetic number, because the mean of its divisors is an integer number (525089664008).

Almost surely, 2^{38845036286208} 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 38845036286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56709683712864).

38845036286208 is an abundant number, since it is smaller than the sum of its proper divisors (74574331139520).

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

38845036286208 is a wasteful number, since it uses less digits than its factorization.

38845036286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125829 (or 125812 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 38845036286208 in words is "thirty-eight trillion, eight hundred forty-five billion, thirty-six million, two hundred eighty-six thousand, two hundred eight".