229787712000 has 1920 divisors, whose sum is σ = 1073146314240. Its totient is φ = 47443968000.

The previous prime is 229787711939. The next prime is 229787712019. The reversal of 229787712000 is 217787922.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1463615922 + ... + 1463616078.

It is an arithmetic number, because the mean of its divisors is an integer number (558930372).

Almost surely, 2^229787712000 is an apocalyptic number.

229787712000 is a gapful number since it is divisible by the number (20) 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 229787712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536573157120).

229787712000 is an abundant number, since it is smaller than the sum of its proper divisors (843358602240).

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

229787712000 is a wasteful number, since it uses less digits than its factorization.

229787712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 229787712000 in words is "two hundred twenty-nine billion, seven hundred eighty-seven million, seven hundred twelve thousand".