228519270969768 has 160 divisors (see below), whose sum is σ = 641514307959360. Its totient is φ = 76000701461760.

The previous prime is 228519270969767. The next prime is 228519270969809. The reversal of 228519270969768 is 867969072915822.

228519270969768 is a `hidden beast` number, since 2 + 2 + 8 + 519 + 2 + 7 + 0 + 9 + 6 + 97 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (228519270969767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6139176805 + ... + 6139214027.

It is an arithmetic number, because the mean of its divisors is an integer number (4009464424746).

Almost surely, 2^{228519270969768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228519270969768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320757153979680).

228519270969768 is an abundant number, since it is smaller than the sum of its proper divisors (412995036989592).

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

228519270969768 is a wasteful number, since it uses less digits than its factorization.

228519270969768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58429 (or 58416 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 228519270969768 in words is "two hundred twenty-eight trillion, five hundred nineteen billion, two hundred seventy million, nine hundred sixty-nine thousand, seven hundred sixty-eight".