229766544000 has 2560 divisors, whose sum is σ = 1084358246400. Its totient is φ = 47029248000.

The previous prime is 229766543999. The next prime is 229766544017. The reversal of 229766544000 is 445667922.

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5343407979 + ... + 5343408021.

It is an arithmetic number, because the mean of its divisors is an integer number (423577440).

Almost surely, 2^229766544000 is an apocalyptic number.

229766544000 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 229766544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542179123200).

229766544000 is an abundant number, since it is smaller than the sum of its proper divisors (854591702400).

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

229766544000 is a wasteful number, since it uses less digits than its factorization.

229766544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 229766544000 in words is "two hundred twenty-nine billion, seven hundred sixty-six million, five hundred forty-four thousand".