226463608800 has 432 divisors, whose sum is σ = 938181233808. Its totient is φ = 50676940800.

The previous prime is 226463608799. The next prime is 226463608807. The reversal of 226463608800 is 8806364622.

226463608800 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 636 + 0 + 8 + 8 + 0 + 0 = 666.

226463608800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226463608800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226463608807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 919624 + ... + 1139576.

It is an arithmetic number, because the mean of its divisors is an integer number (2171715819).

Almost surely, 2^226463608800 is an apocalyptic number.

226463608800 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 226463608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469090616904).

226463608800 is an abundant number, since it is smaller than the sum of its proper divisors (711717625008).

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

226463608800 is a wasteful number, since it uses less digits than its factorization.

226463608800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220003 (or 219987 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 226463608800 in words is "two hundred twenty-six billion, four hundred sixty-three million, six hundred eight thousand, eight hundred".