229984022926368 has 72 divisors (see below), whose sum is σ = 654059593369728. Its totient is φ = 76656355988352.

The previous prime is 229984022926327. The next prime is 229984022926369. The reversal of 229984022926368 is 863629220489922.

229984022926368 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 84 + 0 + 229 + 263 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 229984022926296 and 229984022926305.

It is not an unprimeable number, because it can be changed into a prime (229984022926369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21525480 + ... + 30386087.

It is an arithmetic number, because the mean of its divisors is an integer number (9084161019024).

Almost surely, 2^{229984022926368} is an apocalyptic number.

It is an amenable number.

229984022926368 is an abundant number, since it is smaller than the sum of its proper divisors (424075570443360).

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

229984022926368 is a wasteful number, since it uses less digits than its factorization.

229984022926368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51926966 (or 51926955 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 229984022926368 in words is "two hundred twenty-nine trillion, nine hundred eighty-four billion, twenty-two million, nine hundred twenty-six thousand, three hundred sixty-eight".