228205416816 has 960 divisors, whose sum is σ = 797450209920. Its totient is φ = 60197437440.

The previous prime is 228205416797. The next prime is 228205416821. The reversal of 228205416816 is 618614502822.

228205416816 is a `hidden beast` number, since 2 + 2 + 8 + 20 + 541 + 6 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1400033151 + ... + 1400033313.

It is an arithmetic number, because the mean of its divisors is an integer number (830677302).

Almost surely, 2^228205416816 is an apocalyptic number.

228205416816 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 228205416816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398725104960).

228205416816 is an abundant number, since it is smaller than the sum of its proper divisors (569244793104).

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

228205416816 is a wasteful number, since it uses less digits than its factorization.

228205416816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 228205416816 in words is "two hundred twenty-eight billion, two hundred five million, four hundred sixteen thousand, eight hundred sixteen".