226047144960 has 2112 divisors, whose sum is σ = 1072625379840. Its totient is φ = 44590694400.

The previous prime is 226047144901. The next prime is 226047145013. The reversal of 226047144960 is 69441740622.

226047144960 is a `hidden beast` number, since 22 + 60 + 4 + 71 + 449 + 60 = 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 191 ways as a sum of consecutive naturals, for example, 1497000885 + ... + 1497001035.

Almost surely, 2^226047144960 is an apocalyptic number.

226047144960 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 226047144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536312689920).

226047144960 is an abundant number, since it is smaller than the sum of its proper divisors (846578234880).

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

226047144960 is a wasteful number, since it uses less digits than its factorization.

226047144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 226047144960 in words is "two hundred twenty-six billion, forty-seven million, one hundred forty-four thousand, nine hundred sixty".