226408828800 has 1536 divisors, whose sum is σ = 1009735372800. Its totient is φ = 43145625600.

The previous prime is 226408828799. The next prime is 226408828819. The reversal of 226408828800 is 8828804622.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 226408828800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 540354991 + ... + 540355409.

It is an arithmetic number, because the mean of its divisors is an integer number (657379800).

Almost surely, 2^226408828800 is an apocalyptic number.

226408828800 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 226408828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504867686400).

226408828800 is an abundant number, since it is smaller than the sum of its proper divisors (783326544000).

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

226408828800 is a wasteful number, since it uses less digits than its factorization.

226408828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 226408828800 in words is "two hundred twenty-six billion, four hundred eight million, eight hundred twenty-eight thousand, eight hundred".