228981864672 has 576 divisors, whose sum is σ = 778236076800. Its totient is φ = 63084994560.

The previous prime is 228981864647. The next prime is 228981864697. The reversal of 228981864672 is 276468189822.

228981864672 is a `hidden beast` number, since 2 + 2 + 8 + 98 + 1 + 86 + 467 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (228981864647) and next prime (228981864697).

It is a super-2 number, since 2×228981864672² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406717063 + ... + 406717625.

It is an arithmetic number, because the mean of its divisors is an integer number (1351104300).

Almost surely, 2^228981864672 is an apocalyptic number.

228981864672 is a gapful number since it is divisible by the number (22) 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 228981864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389118038400).

228981864672 is an abundant number, since it is smaller than the sum of its proper divisors (549254212128).

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

228981864672 is a wasteful number, since it uses less digits than its factorization.

228981864672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 228981864672 in words is "two hundred twenty-eight billion, nine hundred eighty-one million, eight hundred sixty-four thousand, six hundred seventy-two".