229648320000 has 900 divisors, whose sum is σ = 911728637820. Its totient is φ = 55587840000.

The previous prime is 229648319983. The next prime is 229648320113. The reversal of 229648320000 is 23846922.

229648320000 is a `hidden beast` number, since 2 + 2 + 9 + 648 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×229648320000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 348479671 + ... + 348480329.

Almost surely, 2^229648320000 is an apocalyptic number.

229648320000 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 229648320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455864318910).

229648320000 is an abundant number, since it is smaller than the sum of its proper divisors (682080317820).

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

229648320000 is an equidigital number, since it uses as much as digits as its factorization.

229648320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 229648320000 in words is "two hundred twenty-nine billion, six hundred forty-eight million, three hundred twenty thousand".