229769028216 has 1024 divisors, whose sum is σ = 847223193600. Its totient is φ = 56086732800.

The previous prime is 229769028197. The next prime is 229769028233. The reversal of 229769028216 is 612820967922.

229769028216 is a `hidden beast` number, since 2 + 297 + 69 + 0 + 282 + 16 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2033354176 + ... + 2033354288.

It is an arithmetic number, because the mean of its divisors is an integer number (827366400).

Almost surely, 2^229769028216 is an apocalyptic number.

229769028216 is a gapful number since it is divisible by the number (26) 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 229769028216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423611596800).

229769028216 is an abundant number, since it is smaller than the sum of its proper divisors (617454165384).

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

229769028216 is a wasteful number, since it uses less digits than its factorization.

229769028216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 229769028216 in words is "two hundred twenty-nine billion, seven hundred sixty-nine million, twenty-eight thousand, two hundred sixteen".