229536230768640 has 512 divisors, whose sum is σ = 817262763264000. Its totient is φ = 61123682893824.

The previous prime is 229536230768599. The next prime is 229536230768657. The reversal of 229536230768640 is 46867032635922.

229536230768640 is a `hidden beast` number, since 2 + 2 + 9 + 536 + 2 + 30 + 7 + 6 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3180589837 + ... + 3180662003.

It is an arithmetic number, because the mean of its divisors is an integer number (1596216334500).

Almost surely, 2^{229536230768640} is an apocalyptic number.

229536230768640 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 229536230768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408631381632000).

229536230768640 is an abundant number, since it is smaller than the sum of its proper divisors (587726532495360).

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

229536230768640 is an frugal number, since it uses more digits than its factorization.

229536230768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72930 (or 72896 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 229536230768640 in words is "two hundred twenty-nine trillion, five hundred thirty-six billion, two hundred thirty million, seven hundred sixty-eight thousand, six hundred forty".