228569165693856 has 288 divisors, whose sum is σ = 725957076499200. Its totient is φ = 70325259899904.

The previous prime is 228569165693833. The next prime is 228569165693903. The reversal of 228569165693856 is 658396561965822.

228569165693856 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 6 + 9 + 16 + 569 + 38 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×228569165693856² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385527806 + ... + 2385623618.

It is an arithmetic number, because the mean of its divisors is an integer number (2520684293400).

Almost surely, 2^{228569165693856} is an apocalyptic number.

228569165693856 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 228569165693856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362978538249600).

228569165693856 is an abundant number, since it is smaller than the sum of its proper divisors (497387910805344).

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

228569165693856 is a wasteful number, since it uses less digits than its factorization.

228569165693856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119450 (or 119430 counting only the distinct ones).

The product of its digits is 10077696000, while the sum is 81.

The spelling of 228569165693856 in words is "two hundred twenty-eight trillion, five hundred sixty-nine billion, one hundred sixty-five million, six hundred ninety-three thousand, eight hundred fifty-six".