226175111820 has 576 divisors, whose sum is σ = 826042613760. Its totient is φ = 49016088576.

The previous prime is 226175111761. The next prime is 226175111837. The reversal of 226175111820 is 28111571622.

It is a happy number.

226175111820 is a `hidden beast` number, since 2 + 2 + 61 + 7 + 511 + 1 + 82 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 590535349 + ... + 590535731.

It is an arithmetic number, because the mean of its divisors is an integer number (1434101760).

Almost surely, 2^226175111820 is an apocalyptic number.

226175111820 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 226175111820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413021306880).

226175111820 is an abundant number, since it is smaller than the sum of its proper divisors (599867501940).

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

226175111820 is a wasteful number, since it uses less digits than its factorization.

226175111820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 226175111820 in words is "two hundred twenty-six billion, one hundred seventy-five million, one hundred eleven thousand, eight hundred twenty".