228415749120 has 660 divisors, whose sum is σ = 886590662760. Its totient is φ = 56208162816.

The previous prime is 228415749109. The next prime is 228415749139. The reversal of 228415749120 is 21947514822.

228415749120 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 157 + 491 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70086051 + ... + 70089309.

It is an arithmetic number, because the mean of its divisors is an integer number (1343319186).

Almost surely, 2^228415749120 is an apocalyptic number.

228415749120 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 228415749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443295331380).

228415749120 is an abundant number, since it is smaller than the sum of its proper divisors (658174913640).

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

228415749120 is a wasteful number, since it uses less digits than its factorization.

228415749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 228415749120 in words is "two hundred twenty-eight billion, four hundred fifteen million, seven hundred forty-nine thousand, one hundred twenty".