229477981824 has 640 divisors, whose sum is σ = 869607446400. Its totient is φ = 58427744256.

The previous prime is 229477981819. The next prime is 229477981841. The reversal of 229477981824 is 428189774922.

229477981824 is a `hidden beast` number, since 2 + 2 + 9 + 477 + 9 + 81 + 82 + 4 = 666.

229477981824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27356959 + ... + 27365345.

It is an arithmetic number, because the mean of its divisors is an integer number (1358761635).

Almost surely, 2^229477981824 is an apocalyptic number.

229477981824 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 229477981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434803723200).

229477981824 is an abundant number, since it is smaller than the sum of its proper divisors (640129464576).

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

229477981824 is a wasteful number, since it uses less digits than its factorization.

229477981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8441 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 229477981824 in words is "two hundred twenty-nine billion, four hundred seventy-seven million, nine hundred eighty-one thousand, eight hundred twenty-four".