2334209056416 has 144 divisors (see below), whose sum is σ = 6852903482880. Its totient is φ = 752875015680.

The previous prime is 2334209056409. The next prime is 2334209056429. The reversal of 2334209056416 is 6146509024332.

2334209056416 is a `hidden beast` number, since 2 + 33 + 42 + 0 + 9 + 0 + 564 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114473550 + ... + 114493938.

It is an arithmetic number, because the mean of its divisors is an integer number (47589607520).

Almost surely, 2^{2334209056416} 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 2334209056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426451741440).

2334209056416 is an abundant number, since it is smaller than the sum of its proper divisors (4518694426464).

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

2334209056416 is a wasteful number, since it uses less digits than its factorization.

2334209056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33259 (or 33248 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2334209056416 in words is "two trillion, three hundred thirty-four billion, two hundred nine million, fifty-six thousand, four hundred sixteen".