227838194608752 has 1200 divisors, whose sum is σ = 842994805004352. Its totient is φ = 58871212646400.

The previous prime is 227838194608699. The next prime is 227838194608753. The reversal of 227838194608752 is 257806491838722.

227838194608752 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 3 + 8 + 1 + 9 + 4 + 608 + 7 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227838194608753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9100047178 + ... + 9100072214.

It is a 2-persistent number, because it is pandigital, and so is 2⋅227838194608752 = 455676389217504, but 3⋅227838194608752 = 683514583826256 is not.

Almost surely, 2^{227838194608752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227838194608752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421497402502176).

227838194608752 is an abundant number, since it is smaller than the sum of its proper divisors (615156610395600).

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

227838194608752 is a wasteful number, since it uses less digits than its factorization.

227838194608752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25308 (or 25286 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 227838194608752 in words is "two hundred twenty-seven trillion, eight hundred thirty-eight billion, one hundred ninety-four million, six hundred eight thousand, seven hundred fifty-two".