226544436992160 has 864 divisors, whose sum is σ = 987950175488640. Its totient is φ = 46170566590464.

The previous prime is 226544436992149. The next prime is 226544436992173. The reversal of 226544436992160 is 61299634445622.

It is a happy number.

226544436992160 is a `hidden beast` number, since 2 + 2 + 6 + 54 + 4 + 4 + 369 + 9 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53302782 + ... + 57395778.

It is an arithmetic number, because the mean of its divisors is an integer number (1143460851260).

Almost surely, 2^{226544436992160} is an apocalyptic number.

226544436992160 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 226544436992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493975087744320).

226544436992160 is an abundant number, since it is smaller than the sum of its proper divisors (761405738496480).

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

226544436992160 is a wasteful number, since it uses less digits than its factorization.

226544436992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093078 (or 4093050 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 226544436992160 in words is "two hundred twenty-six trillion, five hundred forty-four billion, four hundred thirty-six million, nine hundred ninety-two thousand, one hundred sixty".