229841141760 has 768 divisors, whose sum is σ = 865640805120. Its totient is φ = 58392576000.

The previous prime is 229841141759. The next prime is 229841141791. The reversal of 229841141760 is 67141148922.

229841141760 is a `hidden beast` number, since 229 + 8 + 4 + 1 + 1 + 417 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915701635 + ... + 915701885.

It is an arithmetic number, because the mean of its divisors is an integer number (1127136465).

Almost surely, 2^229841141760 is an apocalyptic number.

229841141760 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 229841141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432820402560).

229841141760 is an abundant number, since it is smaller than the sum of its proper divisors (635799663360).

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

229841141760 is an frugal number, since it uses more digits than its factorization.

229841141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 229841141760 in words is "two hundred twenty-nine billion, eight hundred forty-one million, one hundred forty-one thousand, seven hundred sixty".