228589148160 has 288 divisors, whose sum is σ = 838857539520. Its totient is φ = 57371000832.

The previous prime is 228589148149. The next prime is 228589148171. The reversal of 228589148160 is 61841985822.

228589148160 is a `hidden beast` number, since 2 + 2 + 8 + 589 + 1 + 48 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228589148149) and next prime (228589148171).

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

It is a junction number, because it is equal to n+sod(n) for n = 228589148097 and 228589148106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1493769 + ... + 1639671.

It is an arithmetic number, because the mean of its divisors is an integer number (2912699790).

Almost surely, 2^228589148160 is an apocalyptic number.

228589148160 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 228589148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419428769760).

228589148160 is an abundant number, since it is smaller than the sum of its proper divisors (610268391360).

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

228589148160 is a wasteful number, since it uses less digits than its factorization.

228589148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145953 (or 145930 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 228589148160 in words is "two hundred twenty-eight billion, five hundred eighty-nine million, one hundred forty-eight thousand, one hundred sixty".