226663557120 has 2592 divisors, whose sum is σ = 1119473278560. Its totient is φ = 43475927040.

The previous prime is 226663557101. The next prime is 226663557121. The reversal of 226663557120 is 21755366622.

It is a tau number, because it is divible by the number of its divisors (2592).

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 (226663557121) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 17435658234 + ... + 17435658246.

It is an arithmetic number, because the mean of its divisors is an integer number (431895555).

Almost surely, 2^226663557120 is an apocalyptic number.

226663557120 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 226663557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559736639280).

226663557120 is an abundant number, since it is smaller than the sum of its proper divisors (892809721440).

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

226663557120 is a wasteful number, since it uses less digits than its factorization.

226663557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 226663557120 in words is "two hundred twenty-six billion, six hundred sixty-three million, five hundred fifty-seven thousand, one hundred twenty".