2164993232616 has 96 divisors (see below), whose sum is σ = 5932169717760. Its totient is φ = 713258856576.

The previous prime is 2164993232609. The next prime is 2164993232621. The reversal of 2164993232616 is 6162323994612.

2164993232616 is a `hidden beast` number, since 2 + 16 + 4 + 9 + 9 + 3 + 2 + 3 + 2 + 616 = 666.

It is a super-3 number, since 3×2164993232616³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1954746 + ... + 2854998.

It is an arithmetic number, because the mean of its divisors is an integer number (61793434560).

Almost surely, 2^{2164993232616} 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 2164993232616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966084858880).

2164993232616 is an abundant number, since it is smaller than the sum of its proper divisors (3767176485144).

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

2164993232616 is a wasteful number, since it uses less digits than its factorization.

2164993232616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900655 (or 900648 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 2164993232616 in words is "two trillion, one hundred sixty-four billion, nine hundred ninety-three million, two hundred thirty-two thousand, six hundred sixteen".