4346319204416 has 112 divisors (see below), whose sum is σ = 10286964399360. Its totient is φ = 1781448007680.

The previous prime is 4346319204407. The next prime is 4346319204421. The reversal of 4346319204416 is 6144029136434.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75901556 + ... + 75958796.

Almost surely, 2^{4346319204416} is an apocalyptic number.

4346319204416 is a gapful number since it is divisible by the number (46) 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 4346319204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143482199680).

4346319204416 is an abundant number, since it is smaller than the sum of its proper divisors (5940645194944).

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

4346319204416 is a wasteful number, since it uses less digits than its factorization.

4346319204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64652 (or 64642 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 4346319204416 in words is "four trillion, three hundred forty-six billion, three hundred nineteen million, two hundred four thousand, four hundred sixteen".