226258018560 has 864 divisors, whose sum is σ = 955673671680. Its totient is φ = 48306585600.

The previous prime is 226258018513. The next prime is 226258018561. The reversal of 226258018560 is 65810852622.

It is a happy number.

226258018560 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 5 + 80 + 1 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (226258018561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72493800 + ... + 72496920.

Almost surely, 2^226258018560 is an apocalyptic number.

226258018560 is a gapful number since it is divisible by the number (20) 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 226258018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477836835840).

226258018560 is an abundant number, since it is smaller than the sum of its proper divisors (729415653120).

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

226258018560 is a wasteful number, since it uses less digits than its factorization.

226258018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 226258018560 in words is "two hundred twenty-six billion, two hundred fifty-eight million, eighteen thousand, five hundred sixty".