226146816000 has 2080 divisors, whose sum is σ = 1039001483520. Its totient is φ = 47775744000.

The previous prime is 226146815989. The next prime is 226146816037. The reversal of 226146816000 is 618641622.

226146816000 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 46 + 8 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×226146816000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5515775980 + ... + 5515776020.

It is an arithmetic number, because the mean of its divisors is an integer number (499519944).

Almost surely, 2^226146816000 is an apocalyptic number.

226146816000 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 226146816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519500741760).

226146816000 is an abundant number, since it is smaller than the sum of its proper divisors (812854667520).

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

226146816000 is an equidigital number, since it uses as much as digits as its factorization.

226146816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 226146816000 in words is "two hundred twenty-six billion, one hundred forty-six million, eight hundred sixteen thousand".