228818961792 has 384 divisors, whose sum is σ = 697327488000. Its totient is φ = 71920742400.

The previous prime is 228818961773. The next prime is 228818961817. The reversal of 228818961792 is 297169818822.

228818961792 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 1 + 8 + 9 + 617 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 276017634 + ... + 276018462.

It is an arithmetic number, because the mean of its divisors is an integer number (1815957000).

Almost surely, 2^228818961792 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 228818961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348663744000).

228818961792 is an abundant number, since it is smaller than the sum of its proper divisors (468508526208).

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

228818961792 is a wasteful number, since it uses less digits than its factorization.

228818961792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 228818961792 in words is "two hundred twenty-eight billion, eight hundred eighteen million, nine hundred sixty-one thousand, seven hundred ninety-two".