226976009428224 has 1152 divisors, whose sum is σ = 796614811238400. Its totient is φ = 63183606571008.

The previous prime is 226976009428183. The next prime is 226976009428241. The reversal of 226976009428224 is 422824900679622.

226976009428224 is a `hidden beast` number, since 2 + 269 + 7 + 6 + 0 + 0 + 94 + 282 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×226976009428224² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78025440082 + ... + 78025442990.

Almost surely, 2^{226976009428224} is an apocalyptic number.

226976009428224 is a gapful number since it is divisible by the number (24) 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 226976009428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398307405619200).

226976009428224 is an abundant number, since it is smaller than the sum of its proper divisors (569638801810176).

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

226976009428224 is an frugal number, since it uses more digits than its factorization.

226976009428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 226976009428224 in words is "two hundred twenty-six trillion, nine hundred seventy-six billion, nine million, four hundred twenty-eight thousand, two hundred twenty-four".