226681338240 has 960 divisors, whose sum is σ = 948197352960. Its totient is φ = 51455803392.

The previous prime is 226681338181. The next prime is 226681338241. The reversal of 226681338240 is 42833186622.

226681338240 is a `hidden beast` number, since 2 + 266 + 8 + 1 + 3 + 382 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226681338241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 591857089 + ... + 591857471.

It is an arithmetic number, because the mean of its divisors is an integer number (987705576).

Almost surely, 2^226681338240 is an apocalyptic number.

226681338240 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 226681338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474098676480).

226681338240 is an abundant number, since it is smaller than the sum of its proper divisors (721516014720).

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

226681338240 is a wasteful number, since it uses less digits than its factorization.

226681338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 226681338240 in words is "two hundred twenty-six billion, six hundred eighty-one million, three hundred thirty-eight thousand, two hundred forty".