226166925600 has 2304 divisors, whose sum is σ = 1139327078400. Its totient is φ = 41803776000.

The previous prime is 226166925563. The next prime is 226166925631. The reversal of 226166925600 is 6529661622.

It is a happy number.

226166925600 is a `hidden beast` number, since 2 + 2 + 6 + 16 + 6 + 9 + 25 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 537213390 + ... + 537213810.

It is an arithmetic number, because the mean of its divisors is an integer number (494499600).

Almost surely, 2^226166925600 is an apocalyptic number.

226166925600 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 226166925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569663539200).

226166925600 is an abundant number, since it is smaller than the sum of its proper divisors (913160152800).

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

226166925600 is a wasteful number, since it uses less digits than its factorization.

226166925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 226166925600 in words is "two hundred twenty-six billion, one hundred sixty-six million, nine hundred twenty-five thousand, six hundred".