226830911569920 has 1536 divisors, whose sum is σ = 937365328972800. Its totient is φ = 51546078314496.

The previous prime is 226830911569813. The next prime is 226830911569963. The reversal of 226830911569920 is 29965119038622.

226830911569920 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 30 + 9 + 11 + 569 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49885837087 + ... + 49885841633.

It is an arithmetic number, because the mean of its divisors is an integer number (610263886050).

Almost surely, 2^{226830911569920} is an apocalyptic number.

226830911569920 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 226830911569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468682664486400).

226830911569920 is an abundant number, since it is smaller than the sum of its proper divisors (710534417402880).

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

226830911569920 is an frugal number, since it uses more digits than its factorization.

226830911569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 226830911569920 in words is "two hundred twenty-six trillion, eight hundred thirty billion, nine hundred eleven million, five hundred sixty-nine thousand, nine hundred twenty".