6227011168000 has 1152 divisors, whose sum is σ = 19308893700096. Its totient is φ = 1954326528000.

The previous prime is 6227011167973. The next prime is 6227011168009. The reversal of 6227011168000 is 8611107226.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6227011168009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20283423847 + ... + 20283424153.

It is an arithmetic number, because the mean of its divisors is an integer number (16761192448).

Almost surely, 2^{6227011168000} 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 6227011168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654446850048).

6227011168000 is an abundant number, since it is smaller than the sum of its proper divisors (13081882532096).

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

6227011168000 is a wasteful number, since it uses less digits than its factorization.

6227011168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 6227011168000 in words is "six trillion, two hundred twenty-seven billion, eleven million, one hundred sixty-eight thousand".