229728100003584 has 1152 divisors, whose sum is σ = 775280590737408. Its totient is φ = 58788371496960.

The previous prime is 229728100003547. The next prime is 229728100003601. The reversal of 229728100003584 is 485300001827922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92894499372 + ... + 92894501844.

It is an arithmetic number, because the mean of its divisors is an integer number (672986623904).

Almost surely, 2^{229728100003584} is an apocalyptic number.

229728100003584 is a gapful number since it is divisible by the number (24) 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 229728100003584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387640295368704).

229728100003584 is an abundant number, since it is smaller than the sum of its proper divisors (545552490733824).

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

229728100003584 is a wasteful number, since it uses less digits than its factorization.

229728100003584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 229728100003584 in words is "two hundred twenty-nine trillion, seven hundred twenty-eight billion, one hundred million, three thousand, five hundred eighty-four".