228946823626752 has 3780 divisors, whose sum is σ = 909010268205228. Its totient is φ = 57388223692800.

The previous prime is 228946823626747. The next prime is 228946823626771. The reversal of 228946823626752 is 257626328649822.

228946823626752 is a `hidden beast` number, since 2 + 2 + 89 + 4 + 6 + 8 + 236 + 267 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72515170861056 + 156431652765696 = 8515584^2 + 12507264^2 .

It is a super-2 number, since 2×228946823626752² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3753226616802 + ... + 3753226616862.

Almost surely, 2^{228946823626752} is an apocalyptic number.

228946823626752 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 228946823626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454505134102614).

228946823626752 is an abundant number, since it is smaller than the sum of its proper divisors (680063444578476).

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

228946823626752 is an frugal number, since it uses more digits than its factorization.

228946823626752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 137 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 228946823626752 in words is "two hundred twenty-eight trillion, nine hundred forty-six billion, eight hundred twenty-three million, six hundred twenty-six thousand, seven hundred fifty-two".