226415454720 has 1920 divisors, whose sum is σ = 1013035161600. Its totient is φ = 41872785408.

The previous prime is 226415454667. The next prime is 226415454721. The reversal of 226415454720 is 27454514622.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (226415454721) by changing a digit.

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, 3837550051 + ... + 3837550109.

It is an arithmetic number, because the mean of its divisors is an integer number (527622480).

Almost surely, 2^226415454720 is an apocalyptic number.

226415454720 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 226415454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506517580800).

226415454720 is an abundant number, since it is smaller than the sum of its proper divisors (786619706880).

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

226415454720 is a wasteful number, since it uses less digits than its factorization.

226415454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 226415454720 in words is "two hundred twenty-six billion, four hundred fifteen million, four hundred fifty-four thousand, seven hundred twenty".