226112786536 has 256 divisors, whose sum is σ = 557351424000. Its totient is φ = 85349376000.

The previous prime is 226112786527. The next prime is 226112786539. The reversal of 226112786536 is 635687211622.

It is a super-2 number, since 2×226112786536² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 226112786536.

It is not an unprimeable number, because it can be changed into a prime (226112786539) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80724336 + ... + 80727136.

It is an arithmetic number, because the mean of its divisors is an integer number (2177154000).

Almost surely, 2^226112786536 is an apocalyptic number.

226112786536 is a gapful number since it is divisible by the number (26) 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 226112786536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278675712000).

226112786536 is an abundant number, since it is smaller than the sum of its proper divisors (331238637464).

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

226112786536 is a wasteful number, since it uses less digits than its factorization.

226112786536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2927 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 226112786536 in words is "two hundred twenty-six billion, one hundred twelve million, seven hundred eighty-six thousand, five hundred thirty-six".