226004784768 has 1280 divisors, whose sum is σ = 887202201600. Its totient is φ = 55539302400.

The previous prime is 226004784763. The next prime is 226004784773. The reversal of 226004784768 is 867487400622.

It is a happy number.

226004784768 is a `hidden beast` number, since 22 + 600 + 4 + 7 + 8 + 4 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (226004784763) and next prime (226004784773).

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

It is not an unprimeable number, because it can be changed into a prime (226004784763) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 726703333 + ... + 726703643.

It is an arithmetic number, because the mean of its divisors is an integer number (693126720).

Almost surely, 2^226004784768 is an apocalyptic number.

226004784768 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 226004784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443601100800).

226004784768 is an abundant number, since it is smaller than the sum of its proper divisors (661197416832).

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

226004784768 is a wasteful number, since it uses less digits than its factorization.

226004784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 226004784768 in words is "two hundred twenty-six billion, four million, seven hundred eighty-four thousand, seven hundred sixty-eight".