226921685760 has 1152 divisors, whose sum is σ = 1010867558400. Its totient is φ = 46829076480.

The previous prime is 226921685759. The next prime is 226921685791. The reversal of 226921685760 is 67586129622.

226921685760 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 2 + 1 + 68 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 226921685697 and 226921685706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 715841122 + ... + 715841438.

It is an arithmetic number, because the mean of its divisors is an integer number (877489200).

Almost surely, 2^226921685760 is an apocalyptic number.

226921685760 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 226921685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505433779200).

226921685760 is an abundant number, since it is smaller than the sum of its proper divisors (783945872640).

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

226921685760 is a wasteful number, since it uses less digits than its factorization.

226921685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 226921685760 in words is "two hundred twenty-six billion, nine hundred twenty-one million, six hundred eighty-five thousand, seven hundred sixty".