993398107072 has 56 divisors (see below), whose sum is σ = 2253031872896. Its totient is φ = 425714289408.

The previous prime is 993398107033. The next prime is 993398107087. The reversal of 993398107072 is 270701893399.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×993398107072³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993398106998 and 993398107016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7750903 + ... + 7878025.

It is an arithmetic number, because the mean of its divisors is an integer number (40232712016).

Almost surely, 2^993398107072 is an apocalyptic number.

It is an amenable number.

993398107072 is an abundant number, since it is smaller than the sum of its proper divisors (1259633765824).

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

993398107072 is a wasteful number, since it uses less digits than its factorization.

993398107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144585 (or 144575 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 58.

The spelling of 993398107072 in words is "nine hundred ninety-three billion, three hundred ninety-eight million, one hundred seven thousand, seventy-two".