993032105032 has 16 divisors (see below), whose sum is σ = 2031202033200. Its totient is φ = 451378229520.

The previous prime is 993032105011. The next prime is 993032105189. The reversal of 993032105032 is 230501230399.

993032105032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×993032105032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993032104982 and 993032105000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5642227782 + ... + 5642227957.

It is an arithmetic number, because the mean of its divisors is an integer number (126950127075).

Almost surely, 2^993032105032 is an apocalyptic number.

It is an amenable number.

993032105032 is an abundant number, since it is smaller than the sum of its proper divisors (1038169928168).

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

993032105032 is a wasteful number, since it uses less digits than its factorization.

993032105032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284455756 (or 11284455752 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

The spelling of 993032105032 in words is "nine hundred ninety-three billion, thirty-two million, one hundred five thousand, thirty-two".