226747591170048 has 1536 divisors, whose sum is σ = 789778080000000. Its totient is φ = 64471455498240.

The previous prime is 226747591169969. The next prime is 226747591170083. The reversal of 226747591170048 is 840071195747622.

226747591170048 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 475 + 9 + 117 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45358587453 + ... + 45358592451.

It is an arithmetic number, because the mean of its divisors is an integer number (514178437500).

Almost surely, 2^{226747591170048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226747591170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394889040000000).

226747591170048 is an abundant number, since it is smaller than the sum of its proper divisors (563030488829952).

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

226747591170048 is an equidigital number, since it uses as much as digits as its factorization.

226747591170048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 226747591170048 in words is "two hundred twenty-six trillion, seven hundred forty-seven billion, five hundred ninety-one million, one hundred seventy thousand, forty-eight".