38506216916544 has 448 divisors, whose sum is σ = 113728956956160. Its totient is φ = 11489333207040.

The previous prime is 38506216916537. The next prime is 38506216916549. The reversal of 38506216916544 is 44561961260583.

It is not an unprimeable number, because it can be changed into a prime (38506216916549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4853924802 + ... + 4853932734.

It is an arithmetic number, because the mean of its divisors is an integer number (253859278920).

Almost surely, 2^{38506216916544} 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 38506216916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56864478478080).

38506216916544 is an abundant number, since it is smaller than the sum of its proper divisors (75222740039616).

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

38506216916544 is a wasteful number, since it uses less digits than its factorization.

38506216916544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

It can be divided in two parts, 38506216 and 916544, that added together give a triangular number (39422760 = T₈₈₇₉).

The spelling of 38506216916544 in words is "thirty-eight trillion, five hundred six billion, two hundred sixteen million, nine hundred sixteen thousand, five hundred forty-four".