226930118400 has 864 divisors, whose sum is σ = 871239792640. Its totient is φ = 58450636800.

The previous prime is 226930118383. The next prime is 226930118473. The reversal of 226930118400 is 4811039622.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 433900539 + ... + 433901061.

Almost surely, 2^226930118400 is an apocalyptic number.

226930118400 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 226930118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435619896320).

226930118400 is an abundant number, since it is smaller than the sum of its proper divisors (644309674240).

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

226930118400 is an frugal number, since it uses more digits than its factorization.

226930118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 226930118400 in words is "two hundred twenty-six billion, nine hundred thirty million, one hundred eighteen thousand, four hundred".