226545283094400 has 1152 divisors, whose sum is σ = 886106717683200. Its totient is φ = 54855885127680.

The previous prime is 226545283094341. The next prime is 226545283094401. The reversal of 226545283094400 is 4490382545622.

226545283094400 is a `hidden beast` number, since 2 + 2 + 6 + 545 + 2 + 8 + 3 + 0 + 94 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×226545283094400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226545283094401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21198205857 + ... + 21198216543.

It is an arithmetic number, because the mean of its divisors is an integer number (769189859100).

Almost surely, 2^{226545283094400} is an apocalyptic number.

226545283094400 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 226545283094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443053358841600).

226545283094400 is an abundant number, since it is smaller than the sum of its proper divisors (659561434588800).

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

226545283094400 is a wasteful number, since it uses less digits than its factorization.

226545283094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 226545283094400 in words is "two hundred twenty-six trillion, five hundred forty-five billion, two hundred eighty-three million, ninety-four thousand, four hundred".