229120835328 has 864 divisors, whose sum is σ = 882248220672. Its totient is φ = 57554841600.

The previous prime is 229120835309. The next prime is 229120835353. The reversal of 229120835328 is 823538021922.

229120835328 is a `hidden beast` number, since 2 + 2 + 91 + 20 + 8 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

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, 148489725 + ... + 148491267.

Almost surely, 2^229120835328 is an apocalyptic number.

229120835328 is a gapful number since it is divisible by the number (28) 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 229120835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441124110336).

229120835328 is an abundant number, since it is smaller than the sum of its proper divisors (653127385344).

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

229120835328 is a wasteful number, since it uses less digits than its factorization.

229120835328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 229120835328 in words is "two hundred twenty-nine billion, one hundred twenty million, eight hundred thirty-five thousand, three hundred twenty-eight".