229761296744000 has 448 divisors, whose sum is σ = 686443006080000. Its totient is φ = 76058885683200.

The previous prime is 229761296743969. The next prime is 229761296744011. The reversal of 229761296744000 is 447692167922.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78132341 + ... + 81019659.

Almost surely, 2^{229761296744000} is an apocalyptic number.

229761296744000 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 229761296744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343221503040000).

229761296744000 is an abundant number, since it is smaller than the sum of its proper divisors (456681709336000).

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

229761296744000 is an equidigital number, since it uses as much as digits as its factorization.

229761296744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887396 (or 2887362 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 59.

The spelling of 229761296744000 in words is "two hundred twenty-nine trillion, seven hundred sixty-one billion, two hundred ninety-six million, seven hundred forty-four thousand".