228444537600 has 864 divisors, whose sum is σ = 881418585600. Its totient is φ = 57784320000.

The previous prime is 228444537583. The next prime is 228444537613. The reversal of 228444537600 is 6735444822.

It is a happy number.

228444537600 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 4 + 4 + 5 + 37 + 600 = 666.

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

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

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 95 ways as a sum of consecutive naturals, for example, 910137475 + ... + 910137725.

It is an arithmetic number, because the mean of its divisors is an integer number (1020160400).

Almost surely, 2^228444537600 is an apocalyptic number.

228444537600 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 228444537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440709292800).

228444537600 is an abundant number, since it is smaller than the sum of its proper divisors (652974048000).

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

228444537600 is a wasteful number, since it uses less digits than its factorization.

228444537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 228444537600 in words is "two hundred twenty-eight billion, four hundred forty-four million, five hundred thirty-seven thousand, six hundred".