346383174144 has 480 divisors, whose sum is σ = 1179462366720. Its totient is φ = 88227643392.

The previous prime is 346383174119. The next prime is 346383174167. The reversal of 346383174144 is 441471383643.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 346383174093 and 346383174102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59036299 + ... + 59042165.

It is an arithmetic number, because the mean of its divisors is an integer number (2457213264).

Almost surely, 2^346383174144 is an apocalyptic number.

346383174144 is a gapful number since it is divisible by the number (34) 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 346383174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589731183360).

346383174144 is an abundant number, since it is smaller than the sum of its proper divisors (833079192576).

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

346383174144 is a wasteful number, since it uses less digits than its factorization.

346383174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5915 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 346383174144 in words is "three hundred forty-six billion, three hundred eighty-three million, one hundred seventy-four thousand, one hundred forty-four".