226558729800 has 324 divisors, whose sum is σ = 824845321755. Its totient is φ = 55703681280.

The previous prime is 226558729799. The next prime is 226558729801. The reversal of 226558729800 is 8927855622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226558729800 is a `hidden beast` number, since 2 + 2 + 6 + 558 + 7 + 2 + 9 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226558729799) and next prime (226558729801).

It can be written as a sum of positive squares in 5 ways, for example, as 14183380836 + 212375348964 = 119094^2 + 460842^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336570.

It is not an unprimeable number, because it can be changed into a prime (226558729801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 262524169 + ... + 262525031.

Almost surely, 2^226558729800 is an apocalyptic number.

226558729800 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 226558729800

226558729800 is an abundant number, since it is smaller than the sum of its proper divisors (598286591955).

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

226558729800 is a wasteful number, since it uses less digits than its factorization.

226558729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 226558729800 in words is "two hundred twenty-six billion, five hundred fifty-eight million, seven hundred twenty-nine thousand, eight hundred".