229716686881152 has 384 divisors, whose sum is σ = 686885557831200. Its totient is φ = 73628526182400.

The previous prime is 229716686881151. The next prime is 229716686881183. The reversal of 229716686881152 is 251188686617922.

229716686881152 is a `hidden beast` number, since 2 + 297 + 166 + 8 + 68 + 8 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229716686881151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2898264499 + ... + 2898343757.

Almost surely, 2^{229716686881152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229716686881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343442778915600).

229716686881152 is an abundant number, since it is smaller than the sum of its proper divisors (457168870950048).

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

229716686881152 is a wasteful number, since it uses less digits than its factorization.

229716686881152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80114 (or 80099 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 229716686881152 in words is "two hundred twenty-nine trillion, seven hundred sixteen billion, six hundred eighty-six million, eight hundred eighty-one thousand, one hundred fifty-two".