226418523968 has 224 divisors, whose sum is σ = 593551816704. Its totient is φ = 83145719808.

The previous prime is 226418523931. The next prime is 226418524001. The reversal of 226418523968 is 869325814622.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7211921 + ... + 7243247.

It is an arithmetic number, because the mean of its divisors is an integer number (2649784896).

Almost surely, 2^226418523968 is an apocalyptic number.

226418523968 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 226418523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296775908352).

226418523968 is an abundant number, since it is smaller than the sum of its proper divisors (367133292736).

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

226418523968 is a wasteful number, since it uses less digits than its factorization.

226418523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31449 (or 31439 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 56.

The spelling of 226418523968 in words is "two hundred twenty-six billion, four hundred eighteen million, five hundred twenty-three thousand, nine hundred sixty-eight".