226361200361472 has 1680 divisors, whose sum is σ = 778911845701248. Its totient is φ = 65082029506560.

The previous prime is 226361200361423. The next prime is 226361200361551. The reversal of 226361200361472 is 274163002163622.

226361200361472 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 6 + 1 + 20 + 0 + 3 + 614 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 522774134568 + ... + 522774135000.

Almost surely, 2^{226361200361472} is an apocalyptic number.

226361200361472 is a gapful number since it is divisible by the number (22) 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 226361200361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389455922850624).

226361200361472 is an abundant number, since it is smaller than the sum of its proper divisors (552550645339776).

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

226361200361472 is an equidigital number, since it uses as much as digits as its factorization.

226361200361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 226361200361472 in words is "two hundred twenty-six trillion, three hundred sixty-one billion, two hundred million, three hundred sixty-one thousand, four hundred seventy-two".