226616422032000 has 8192 divisors, whose sum is σ = 1164683855462400. Its totient is φ = 42152140800000.

The previous prime is 226616422031963. The next prime is 226616422032043. The reversal of 226616422032000 is 230224616622.

226616422032000 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 1 + 642 + 2 + 0 + 3 + 2 + 0 + 0 + 0 = 666.

226616422032000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 3191780591965 + ... + 3191780592035.

It is an arithmetic number, because the mean of its divisors is an integer number (142173322200).

Almost surely, 2^{226616422032000} is an apocalyptic number.

226616422032000 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 226616422032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582341927731200).

226616422032000 is an abundant number, since it is smaller than the sum of its proper divisors (938067433430400).

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

226616422032000 is a wasteful number, since it uses less digits than its factorization.

226616422032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 226616422032000 its reverse (230224616622), we get a palindrome (226846646648622).

The spelling of 226616422032000 in words is "two hundred twenty-six trillion, six hundred sixteen billion, four hundred twenty-two million, thirty-two thousand".