229671520434720 has 576 divisors, whose sum is σ = 965269036892160. Its totient is φ = 48425581707264.

The previous prime is 229671520434703. The next prime is 229671520434761. The reversal of 229671520434720 is 27434025176922.

229671520434720 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 7 + 1 + 520 + 43 + 4 + 72 + 0 = 666.

It is a super-3 number, since 3×229671520434720³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194530017 + ... + 195707103.

It is an arithmetic number, because the mean of its divisors is an integer number (1675814300160).

Almost surely, 2^{229671520434720} is an apocalyptic number.

229671520434720 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 229671520434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482634518446080).

229671520434720 is an abundant number, since it is smaller than the sum of its proper divisors (735597516457440).

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

229671520434720 is a wasteful number, since it uses less digits than its factorization.

229671520434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178617 (or 1178606 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 229671520434720 in words is "two hundred twenty-nine trillion, six hundred seventy-one billion, five hundred twenty million, four hundred thirty-four thousand, seven hundred twenty".