229056819498720 has 960 divisors, whose sum is σ = 871839577889280. Its totient is φ = 56448244887552.

The previous prime is 229056819498671. The next prime is 229056819498721. The reversal of 229056819498720 is 27894918650922.

229056819498720 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 5 + 68 + 1 + 9 + 498 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229056819498721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8438877469 + ... + 8438904611.

It is an arithmetic number, because the mean of its divisors is an integer number (908166226968).

Almost surely, 2^{229056819498720} is an apocalyptic number.

229056819498720 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 229056819498720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435919788944640).

229056819498720 is an abundant number, since it is smaller than the sum of its proper divisors (642782758390560).

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

229056819498720 is a wasteful number, since it uses less digits than its factorization.

229056819498720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28029 (or 28012 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 229056819498720 in words is "two hundred twenty-nine trillion, fifty-six billion, eight hundred nineteen million, four hundred ninety-eight thousand, seven hundred twenty".