993103930116 has 81 divisors (see below), whose sum is σ = 2573702687829. Its totient is φ = 322880904000.

The previous prime is 993103930033. The next prime is 993103930127. The reversal of 993103930116 is 611039301399.

The square root of 993103930116 is 996546.

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

993103930116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47853312516 + 945250617600 = 218754^2 + 972240^2 .

It is a super-3 number, since 3×993103930116³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 245148291 + ... + 245152341.

Almost surely, 2^993103930116 is an apocalyptic number.

993103930116 is the 996546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993103930116

993103930116 is an abundant number, since it is smaller than the sum of its proper divisors (1580598757713).

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

993103930116 is an equidigital number, since it uses as much as digits as its factorization.

993103930116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The spelling of 993103930116 in words is "nine hundred ninety-three billion, one hundred three million, nine hundred thirty thousand, one hundred sixteen".