228511449600 has 960 divisors, whose sum is σ = 919179740160. Its totient is φ = 48881664000.

The previous prime is 228511449599. The next prime is 228511449623. The reversal of 228511449600 is 6944115822.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 515826979 + ... + 515827421.

It is an arithmetic number, because the mean of its divisors is an integer number (957478896).

Almost surely, 2^228511449600 is an apocalyptic number.

228511449600 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 228511449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459589870080).

228511449600 is an abundant number, since it is smaller than the sum of its proper divisors (690668290560).

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

228511449600 is a wasteful number, since it uses less digits than its factorization.

228511449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 228511449600 in words is "two hundred twenty-eight billion, five hundred eleven million, four hundred forty-nine thousand, six hundred".