226134613494720 has 1792 divisors, whose sum is σ = 985967352115200. Its totient is φ = 47634327797760.

The previous prime is 226134613494677. The next prime is 226134613494731. The reversal of 226134613494720 is 27494316431622.

226134613494720 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 34 + 6 + 134 + 9 + 472 + 0 = 666.

It is a super-2 number, since 2×226134613494720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16631206962 + ... + 16631220558.

It is an arithmetic number, because the mean of its divisors is an integer number (550204995600).

Almost surely, 2^{226134613494720} is an apocalyptic number.

226134613494720 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 226134613494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492983676057600).

226134613494720 is an abundant number, since it is smaller than the sum of its proper divisors (759832738620480).

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

226134613494720 is a wasteful number, since it uses less digits than its factorization.

226134613494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 226134613494720 in words is "two hundred twenty-six trillion, one hundred thirty-four billion, six hundred thirteen million, four hundred ninety-four thousand, seven hundred twenty".