226429188480 has 768 divisors, whose sum is σ = 893549180160. Its totient is φ = 54334955520.

The previous prime is 226429188473. The next prime is 226429188481. The reversal of 226429188480 is 84881924622.

226429188480 is a `hidden beast` number, since 2 + 2 + 64 + 29 + 1 + 88 + 480 = 666.

It is a super-2 number, since 2×226429188480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226429188481) 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 95 ways as a sum of consecutive naturals, for example, 183046422 + ... + 183047658.

It is an arithmetic number, because the mean of its divisors is an integer number (1163475495).

Almost surely, 2^226429188480 is an apocalyptic number.

226429188480 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 226429188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446774590080).

226429188480 is an abundant number, since it is smaller than the sum of its proper divisors (667119991680).

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

226429188480 is a wasteful number, since it uses less digits than its factorization.

226429188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 226429188480 in words is "two hundred twenty-six billion, four hundred twenty-nine million, one hundred eighty-eight thousand, four hundred eighty".