228121198767168 has 1792 divisors, whose sum is σ = 763939580608512. Its totient is φ = 58711080960000.

The previous prime is 228121198767113. The next prime is 228121198767257. The reversal of 228121198767168 is 861767891121822.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 719625232546 + ... + 719625232862.

It is an arithmetic number, because the mean of its divisors is an integer number (426305569536).

Almost surely, 2^{228121198767168} is an apocalyptic number.

228121198767168 is a gapful number since it is divisible by the number (28) 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 228121198767168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381969790304256).

228121198767168 is an abundant number, since it is smaller than the sum of its proper divisors (535818381841344).

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

228121198767168 is a wasteful number, since it uses less digits than its factorization.

228121198767168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 69.

The spelling of 228121198767168 in words is "two hundred twenty-eight trillion, one hundred twenty-one billion, one hundred ninety-eight million, seven hundred sixty-seven thousand, one hundred sixty-eight".