226018383504900 has 576 divisors, whose sum is σ = 808364261376000. Its totient is φ = 47576310865920.

The previous prime is 226018383504817. The next prime is 226018383504919. The reversal of 226018383504900 is 9405383810622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8052228066 + ... + 8052256134.

It is an arithmetic number, because the mean of its divisors is an integer number (1403410176000).

Almost surely, 2^{226018383504900} is an apocalyptic number.

226018383504900 is a gapful number since it is divisible by the number (20) 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 226018383504900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404182130688000).

226018383504900 is an abundant number, since it is smaller than the sum of its proper divisors (582345877871100).

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

226018383504900 is a wasteful number, since it uses less digits than its factorization.

226018383504900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32956 (or 32949 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 226018383504900 in words is "two hundred twenty-six trillion, eighteen billion, three hundred eighty-three million, five hundred four thousand, nine hundred".