226081091768 has 96 divisors (see below), whose sum is σ = 498798518400. Its totient is φ = 95777696448.

The previous prime is 226081091689. The next prime is 226081091771. The reversal of 226081091768 is 867190180622.

It is a super-2 number, since 2×226081091768² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23695943 + ... + 23705481.

It is an arithmetic number, because the mean of its divisors is an integer number (5195817900).

Almost surely, 2^226081091768 is an apocalyptic number.

226081091768 is a gapful number since it is divisible by the number (28) 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 226081091768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249399259200).

226081091768 is an abundant number, since it is smaller than the sum of its proper divisors (272717426632).

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

226081091768 is a wasteful number, since it uses less digits than its factorization.

226081091768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 226081091768 in words is "two hundred twenty-six billion, eighty-one million, ninety-one thousand, seven hundred sixty-eight".