226468135872 has 280 divisors, whose sum is σ = 747942624000. Its totient is φ = 67165770240.

The previous prime is 226468135853. The next prime is 226468135891. The reversal of 226468135872 is 278531864622.

226468135872 is a `hidden beast` number, since 2 + 2 + 6 + 46 + 8 + 13 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (226468135853) and next prime (226468135891).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2637879 + ... + 2722377.

Almost surely, 2^226468135872 is an apocalyptic number.

226468135872 is a gapful number since it is divisible by the number (22) 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 226468135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373971312000).

226468135872 is an abundant number, since it is smaller than the sum of its proper divisors (521474488128).

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

226468135872 is a wasteful number, since it uses less digits than its factorization.

226468135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84581 (or 84562 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

It can be divided in two parts, 22646 and 8135872, that added together give a palindrome (8158518).

The spelling of 226468135872 in words is "two hundred twenty-six billion, four hundred sixty-eight million, one hundred thirty-five thousand, eight hundred seventy-two".