226457026560 has 608 divisors, whose sum is σ = 825437452800. Its totient is φ = 59624128512.

The previous prime is 226457026559. The next prime is 226457026573. The reversal of 226457026560 is 65620754622.

226457026560 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 570 + 26 + 56 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866544601 + ... + 2866544679.

Almost surely, 2^226457026560 is an apocalyptic number.

226457026560 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 226457026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412718726400).

226457026560 is an abundant number, since it is smaller than the sum of its proper divisors (598980426240).

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

226457026560 is an frugal number, since it uses more digits than its factorization.

226457026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 226457026560 in words is "two hundred twenty-six billion, four hundred fifty-seven million, twenty-six thousand, five hundred sixty".