16226400336300 has 432 divisors, whose sum is σ = 63433177516800. Its totient is φ = 3370530009600.

The previous prime is 16226400336247. The next prime is 16226400336319. The reversal of 16226400336300 is 363300462261.

16226400336300 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 640 + 0 + 3 + 3 + 6 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203632866 + ... + 203712534.

Almost surely, 2^{16226400336300} is an apocalyptic number.

16226400336300 is a gapful number since it is divisible by the number (10) 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 16226400336300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31716588758400).

16226400336300 is an abundant number, since it is smaller than the sum of its proper divisors (47206777180500).

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

16226400336300 is a wasteful number, since it uses less digits than its factorization.

16226400336300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82646 (or 82636 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 16226400336300 its reverse (363300462261), we get a palindrome (16589700798561).

The spelling of 16226400336300 in words is "sixteen trillion, two hundred twenty-six billion, four hundred million, three hundred thirty-six thousand, three hundred".