226112633747000 has 1024 divisors, whose sum is σ = 735469577256960. Its totient is φ = 62798063616000.

The previous prime is 226112633746997. The next prime is 226112633747003. The reversal of 226112633747000 is 747336211622.

It is an interprime number because it is at equal distance from previous prime (226112633746997) and next prime (226112633747003).

It is a super-2 number, since 2×226112633747000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226112633747003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3434398082 + ... + 3434463918.

It is an arithmetic number, because the mean of its divisors is an integer number (718232009040).

Almost surely, 2^{226112633747000} is an apocalyptic number.

226112633747000 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 226112633747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367734788628480).

226112633747000 is an abundant number, since it is smaller than the sum of its proper divisors (509356943509960).

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

226112633747000 is a wasteful number, since it uses less digits than its factorization.

226112633747000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66009 (or 65995 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

Adding to 226112633747000 its reverse (747336211622), we get a palindrome (226859969958622).

The spelling of 226112633747000 in words is "two hundred twenty-six trillion, one hundred twelve billion, six hundred thirty-three million, seven hundred forty-seven thousand".