228656203776 has 1728 divisors, whose sum is σ = 974910867840. Its totient is φ = 51597803520.

The previous prime is 228656203757. The next prime is 228656203813. The reversal of 228656203776 is 677302656822.

228656203776 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 5 + 620 + 3 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13450364920 + ... + 13450364936.

It is an arithmetic number, because the mean of its divisors is an integer number (564184530).

Almost surely, 2^228656203776 is an apocalyptic number.

228656203776 is a gapful number since it is divisible by the number (26) 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 228656203776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487455433920).

228656203776 is an abundant number, since it is smaller than the sum of its proper divisors (746254664064).

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

228656203776 is an equidigital number, since it uses as much as digits as its factorization.

228656203776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 228656203776 in words is "two hundred twenty-eight billion, six hundred fifty-six million, two hundred three thousand, seven hundred seventy-six".