6112723833216 has 1344 divisors, whose sum is σ = 24954914754000. Its totient is φ = 1465431367680.

The previous prime is 6112723833199. The next prime is 6112723833239. The reversal of 6112723833216 is 6123383272116.

6112723833216 is a `hidden beast` number, since 6 + 1 + 1 + 272 + 38 + 332 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×6112723833216² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 653832510 + ... + 653841858.

Almost surely, 2^{6112723833216} is an apocalyptic number.

6112723833216 is a gapful number since it is divisible by the number (66) 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 6112723833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477457377000).

6112723833216 is an abundant number, since it is smaller than the sum of its proper divisors (18842190920784).

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

6112723833216 is a wasteful number, since it uses less digits than its factorization.

6112723833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9385 counting only the distinct ones).

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

The spelling of 6112723833216 in words is "six trillion, one hundred twelve billion, seven hundred twenty-three million, eight hundred thirty-three thousand, two hundred sixteen".