228248616960 has 1536 divisors, whose sum is σ = 1029203582400. Its totient is φ = 48157949952.

The previous prime is 228248616923. The next prime is 228248616983. The reversal of 228248616960 is 69616842822.

228248616960 is a `hidden beast` number, since 22 + 82 + 486 + 1 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×228248616960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 228248616897 and 228248616906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17557585914 + ... + 17557585926.

Almost surely, 2^228248616960 is an apocalyptic number.

228248616960 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 228248616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514601791200).

228248616960 is an abundant number, since it is smaller than the sum of its proper divisors (800954965440).

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

228248616960 is an frugal number, since it uses more digits than its factorization.

228248616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 228248616960 in words is "two hundred twenty-eight billion, two hundred forty-eight million, six hundred sixteen thousand, nine hundred sixty".