2330086127616 has 384 divisors, whose sum is σ = 7689604104000. Its totient is φ = 692220985344.

The previous prime is 2330086127599. The next prime is 2330086127617. The reversal of 2330086127616 is 6167216800332.

2330086127616 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 0 + 8 + 6 + 1 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330086127617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20790706 + ... + 20902478.

Almost surely, 2^{2330086127616} is an apocalyptic number.

2330086127616 is a gapful number since it is divisible by the number (26) 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 2330086127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844802052000).

2330086127616 is an abundant number, since it is smaller than the sum of its proper divisors (5359517976384).

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

2330086127616 is a wasteful number, since it uses less digits than its factorization.

2330086127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111846 (or 111820 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2330086127616 in words is "two trillion, three hundred thirty billion, eighty-six million, one hundred twenty-seven thousand, six hundred sixteen".