229443434408760 has 3072 divisors, whose sum is σ = 951889895424000. Its totient is φ = 43527684096000.

The previous prime is 229443434408723. The next prime is 229443434408761. The reversal of 229443434408760 is 67804434344922.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 229443434408694 and 229443434408703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229443434408761) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 131788301490 + ... + 131788303230.

It is an arithmetic number, because the mean of its divisors is an integer number (309859992000).

Almost surely, 2^{229443434408760} is an apocalyptic number.

229443434408760 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 229443434408760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475944947712000).

229443434408760 is an abundant number, since it is smaller than the sum of its proper divisors (722446461015240).

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

229443434408760 is a wasteful number, since it uses less digits than its factorization.

229443434408760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 60.

The spelling of 229443434408760 in words is "two hundred twenty-nine trillion, four hundred forty-three billion, four hundred thirty-four million, four hundred eight thousand, seven hundred sixty".