993413362158 has 96 divisors (see below), whose sum is σ = 2514169082880. Its totient is φ = 277577726400.

The previous prime is 993413362141. The next prime is 993413362171. The reversal of 993413362158 is 851263314399.

993413362158 is a `hidden beast` number, since 9 + 9 + 3 + 4 + 1 + 3 + 3 + 621 + 5 + 8 = 666.

It is a super-3 number, since 3×993413362158³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7640053 + ... + 7768991.

It is an arithmetic number, because the mean of its divisors is an integer number (26189261280).

Almost surely, 2^993413362158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993413362158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257084541440).

993413362158 is an abundant number, since it is smaller than the sum of its proper divisors (1520755720722).

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

993413362158 is a wasteful number, since it uses less digits than its factorization.

993413362158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130302 (or 130299 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 993413362158 in words is "nine hundred ninety-three billion, four hundred thirteen million, three hundred sixty-two thousand, one hundred fifty-eight".