344166496128 has 1280 divisors, whose sum is σ = 1350234547200. Its totient is φ = 84491403264.

The previous prime is 344166496111. The next prime is 344166496183. The reversal of 344166496128 is 821694661443.

344166496128 is a `hidden beast` number, since 3 + 4 + 4 + 16 + 6 + 4 + 9 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1308617725 + ... + 1308617987.

It is an arithmetic number, because the mean of its divisors is an integer number (1054870740).

Almost surely, 2^344166496128 is an apocalyptic number.

344166496128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344166496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675117273600).

344166496128 is an abundant number, since it is smaller than the sum of its proper divisors (1006068051072).

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

344166496128 is a wasteful number, since it uses less digits than its factorization.

344166496128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 344166496128 in words is "three hundred forty-four billion, one hundred sixty-six million, four hundred ninety-six thousand, one hundred twenty-eight".