228541461120 has 1536 divisors, whose sum is σ = 1013362721280. Its totient is φ = 48030547968.

The previous prime is 228541461119. The next prime is 228541461151. The reversal of 228541461120 is 21164145822.

228541461120 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 4 + 14 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 980864524 + ... + 980864756.

It is an arithmetic number, because the mean of its divisors is an integer number (659741355).

Almost surely, 2^228541461120 is an apocalyptic number.

228541461120 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 228541461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506681360640).

228541461120 is an abundant number, since it is smaller than the sum of its proper divisors (784821260160).

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

228541461120 is a wasteful number, since it uses less digits than its factorization.

228541461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 228541461120 in words is "two hundred twenty-eight billion, five hundred forty-one million, four hundred sixty-one thousand, one hundred twenty".