228294898191360 has 5632 divisors, whose sum is σ = 1184067492249600. Its totient is φ = 40131624960000.

The previous prime is 228294898191301. The next prime is 228294898191361. The reversal of 228294898191360 is 63191898492822.

228294898191360 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 9 + 489 + 8 + 1 + 9 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (228294898191361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 81504781960 + ... + 81504784760.

Almost surely, 2^{228294898191360} is an apocalyptic number.

228294898191360 is a gapful number since it is divisible by the number (20) 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 228294898191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592033746124800).

228294898191360 is an abundant number, since it is smaller than the sum of its proper divisors (955772594058240).

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

228294898191360 is a wasteful number, since it uses less digits than its factorization.

228294898191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 228294898191360 in words is "two hundred twenty-eight trillion, two hundred ninety-four billion, eight hundred ninety-eight million, one hundred ninety-one thousand, three hundred sixty".