226709024256 has 640 divisors, whose sum is σ = 799703815680. Its totient is φ = 62506598400.

The previous prime is 226709024251. The next prime is 226709024273. The reversal of 226709024256 is 652420907622.

226709024256 is a `hidden beast` number, since 226 + 70 + 90 + 24 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226709024251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144307951 + ... + 144309521.

It is an arithmetic number, because the mean of its divisors is an integer number (1249537212).

Almost surely, 2^226709024256 is an apocalyptic number.

226709024256 is a gapful number since it is divisible by the number (26) 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 226709024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399851907840).

226709024256 is an abundant number, since it is smaller than the sum of its proper divisors (572994791424).

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

226709024256 is a wasteful number, since it uses less digits than its factorization.

226709024256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 226709024256 in words is "two hundred twenty-six billion, seven hundred nine million, twenty-four thousand, two hundred fifty-six".