993400860168 has 96 divisors (see below), whose sum is σ = 2743144185600. Its totient is φ = 324658249344.

The previous prime is 993400860149. The next prime is 993400860187. The reversal of 993400860168 is 861068004399.

It is an interprime number because it is at equal distance from previous prime (993400860149) and next prime (993400860187).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5400771 + ... + 5581677.

It is an arithmetic number, because the mean of its divisors is an integer number (28574418600).

Almost surely, 2^993400860168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993400860168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371572092800).

993400860168 is an abundant number, since it is smaller than the sum of its proper divisors (1749743325432).

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

993400860168 is a wasteful number, since it uses less digits than its factorization.

993400860168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182411 (or 182404 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 993400860168 in words is "nine hundred ninety-three billion, four hundred million, eight hundred sixty thousand, one hundred sixty-eight".