6209308418016 has 288 divisors, whose sum is σ = 18024507970560. Its totient is φ = 1870232995840.

The previous prime is 6209308418003. The next prime is 6209308418017. The reversal of 6209308418016 is 6108148039026.

It is a super-2 number, since 2×6209308418016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6209308418017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848556945 + ... + 1848560303.

It is an arithmetic number, because the mean of its divisors is an integer number (62585097120).

Almost surely, 2^{6209308418016} is an apocalyptic number.

6209308418016 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 6209308418016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012253985280).

6209308418016 is an abundant number, since it is smaller than the sum of its proper divisors (11815199552544).

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

6209308418016 is a wasteful number, since it uses less digits than its factorization.

6209308418016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 6209308418016 in words is "six trillion, two hundred nine billion, three hundred eight million, four hundred eighteen thousand, sixteen".