226916726400 has 3072 divisors, whose sum is σ = 1133260800000. Its totient is φ = 43893964800.

The previous prime is 226916726347. The next prime is 226916726437. The reversal of 226916726400 is 4627619622.

226916726400 is a `hidden beast` number, since 2 + 2 + 69 + 167 + 26 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 7319894385 + ... + 7319894415.

It is an arithmetic number, because the mean of its divisors is an integer number (368900000).

Almost surely, 2^226916726400 is an apocalyptic number.

226916726400 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 226916726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566630400000).

226916726400 is an abundant number, since it is smaller than the sum of its proper divisors (906344073600).

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

226916726400 is a wasteful number, since it uses less digits than its factorization.

226916726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

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

The spelling of 226916726400 in words is "two hundred twenty-six billion, nine hundred sixteen million, seven hundred twenty-six thousand, four hundred".