228177635140224 has 1024 divisors, whose sum is σ = 865704609792000. Its totient is φ = 57446342553600.

The previous prime is 228177635140193. The next prime is 228177635140297. The reversal of 228177635140224 is 422041536771822.

228177635140224 is a `hidden beast` number, since 2 + 2 + 8 + 177 + 63 + 5 + 1 + 402 + 2 + 4 = 666.

228177635140224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1498932787 + ... + 1499085005.

It is an arithmetic number, because the mean of its divisors is an integer number (845414658000).

Almost surely, 2^{228177635140224} is an apocalyptic number.

228177635140224 is a gapful number since it is divisible by the number (24) 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 228177635140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432852304896000).

228177635140224 is an abundant number, since it is smaller than the sum of its proper divisors (637526974651776).

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

228177635140224 is a wasteful number, since it uses less digits than its factorization.

228177635140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152434 (or 152416 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 228177635140224 in words is "two hundred twenty-eight trillion, one hundred seventy-seven billion, six hundred thirty-five million, one hundred forty thousand, two hundred twenty-four".