8938330007616 has 189 divisors, whose sum is σ = 26238839033901. Its totient is φ = 2909149415424.

The previous prime is 8938330007603. The next prime is 8938330007617. The reversal of 8938330007616 is 6167000338398.

The square root of 8938330007616 is 2989704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1012438440000 + 7925891567616 = 1006200^2 + 2815296^2 .

It is not an unprimeable number, because it can be changed into a prime (8938330007617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3085373080 + ... + 3085375976.

Almost surely, 2^{8938330007616} is an apocalyptic number.

8938330007616 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8938330007616 is the 2989704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8938330007616

8938330007616 is an abundant number, since it is smaller than the sum of its proper divisors (17300509026285).

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

8938330007616 is an frugal number, since it uses more digits than its factorization.

8938330007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 8938330007616 in words is "eight trillion, nine hundred thirty-eight billion, three hundred thirty million, seven thousand, six hundred sixteen".