229954955328 has 504 divisors, whose sum is σ = 817204108032. Its totient is φ = 61499547648.

The previous prime is 229954955317. The next prime is 229954955339. The reversal of 229954955328 is 823559459922.

229954955328 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 5 + 4 + 95 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (229954955317) and next prime (229954955339).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30506376 + ... + 30513912.

Almost surely, 2^229954955328 is an apocalyptic number.

229954955328 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 229954955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408602054016).

229954955328 is an abundant number, since it is smaller than the sum of its proper divisors (587249152704).

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

229954955328 is a wasteful number, since it uses less digits than its factorization.

229954955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7619 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 229954955328 in words is "two hundred twenty-nine billion, nine hundred fifty-four million, nine hundred fifty-five thousand, three hundred twenty-eight".