228962425101120 has 224 divisors, whose sum is σ = 808028573667840. Its totient is φ = 61033968138240.

The previous prime is 228962425101083. The next prime is 228962425101121. The reversal of 228962425101120 is 21101524269822.

228962425101120 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 6 + 2 + 4 + 2 + 510 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228962425101121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18347305 + ... + 28187735.

It is an arithmetic number, because the mean of its divisors is an integer number (3607270418160).

Almost surely, 2^{228962425101120} is an apocalyptic number.

228962425101120 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 228962425101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404014286833920).

228962425101120 is an abundant number, since it is smaller than the sum of its proper divisors (579066148566720).

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

228962425101120 is a wasteful number, since it uses less digits than its factorization.

228962425101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843150 (or 9843134 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 228962425101120 in words is "two hundred twenty-eight trillion, nine hundred sixty-two billion, four hundred twenty-five million, one hundred one thousand, one hundred twenty".