226243266480 has 2560 divisors, whose sum is σ = 1110786048000. Its totient is φ = 41726361600.

The previous prime is 226243266451. The next prime is 226243266511. The reversal of 226243266480 is 84662342622.

226243266480 is a `hidden beast` number, since 2 + 262 + 4 + 326 + 64 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3186524845 + ... + 3186524915.

It is an arithmetic number, because the mean of its divisors is an integer number (433900800).

Almost surely, 2^226243266480 is an apocalyptic number.

226243266480 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 226243266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555393024000).

226243266480 is an abundant number, since it is smaller than the sum of its proper divisors (884542781520).

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

226243266480 is a wasteful number, since it uses less digits than its factorization.

226243266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 226243266480 in words is "two hundred twenty-six billion, two hundred forty-three million, two hundred sixty-six thousand, four hundred eighty".