229326497495040 has 384 divisors, whose sum is σ = 801694934127360. Its totient is φ = 55501750272000.

The previous prime is 229326497495033. The next prime is 229326497495071. The reversal of 229326497495040 is 40594794623922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 202525327 + ... + 203654513.

It is an arithmetic number, because the mean of its divisors is an integer number (2087747224290).

Almost surely, 2^{229326497495040} is an apocalyptic number.

229326497495040 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 229326497495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400847467063680).

229326497495040 is an abundant number, since it is smaller than the sum of its proper divisors (572368436632320).

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

229326497495040 is a wasteful number, since it uses less digits than its factorization.

229326497495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129829 (or 1129809 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 229326497495040 in words is "two hundred twenty-nine trillion, three hundred twenty-six billion, four hundred ninety-seven million, four hundred ninety-five thousand, forty".