226474516800 has 1008 divisors, whose sum is σ = 981692524800. Its totient is φ = 48339025920.

The previous prime is 226474516789. The next prime is 226474516811. The reversal of 226474516800 is 8615474622.

226474516800 is a `hidden beast` number, since 2 + 2 + 64 + 74 + 516 + 8 + 0 + 0 = 666.

226474516800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226474516789) and next prime (226474516811).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255325957 + ... + 255326843.

Almost surely, 2^226474516800 is an apocalyptic number.

226474516800 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 226474516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490846262400).

226474516800 is an abundant number, since it is smaller than the sum of its proper divisors (755218008000).

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

226474516800 is a wasteful number, since it uses less digits than its factorization.

226474516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 226474516800 in words is "two hundred twenty-six billion, four hundred seventy-four million, five hundred sixteen thousand, eight hundred".