344866893168 has 320 divisors, whose sum is σ = 1049675673600. Its totient is φ = 95544852480.

The previous prime is 344866893167. The next prime is 344866893197. The reversal of 344866893168 is 861398668443.

It is a super-3 number, since 3×344866893168³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 344866893099 and 344866893108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344866893167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521734758 + ... + 521735418.

It is an arithmetic number, because the mean of its divisors is an integer number (3280236480).

Almost surely, 2^344866893168 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 344866893168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524837836800).

344866893168 is an abundant number, since it is smaller than the sum of its proper divisors (704808780432).

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

344866893168 is a wasteful number, since it uses less digits than its factorization.

344866893168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 66.

The spelling of 344866893168 in words is "three hundred forty-four billion, eight hundred sixty-six million, eight hundred ninety-three thousand, one hundred sixty-eight".