226120026928488 has 960 divisors, whose sum is σ = 750282654105600. Its totient is φ = 56684610259200.

The previous prime is 226120026928483. The next prime is 226120026928517. The reversal of 226120026928488 is 884829620021622.

It is a super-2 number, since 2×226120026928488² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226120026928483) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94888805745 + ... + 94888808127.

It is an arithmetic number, because the mean of its divisors is an integer number (781544431360).

Almost surely, 2^{226120026928488} is an apocalyptic number.

226120026928488 is a gapful number since it is divisible by the number (28) 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 226120026928488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375141327052800).

226120026928488 is an abundant number, since it is smaller than the sum of its proper divisors (524162627177112).

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

226120026928488 is a wasteful number, since it uses less digits than its factorization.

226120026928488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 226120026928488 in words is "two hundred twenty-six trillion, one hundred twenty billion, twenty-six million, nine hundred twenty-eight thousand, four hundred eighty-eight".