227668025281536 has 528 divisors, whose sum is σ = 753186420061504. Its totient is φ = 64884811235328.

The previous prime is 227668025281469. The next prime is 227668025281537. The reversal of 227668025281536 is 635182520866722.

227668025281536 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 68 + 0 + 2 + 528 + 15 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (227668025281537) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50447156016 + ... + 50447160528.

Almost surely, 2^{227668025281536} 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 227668025281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376593210030752).

227668025281536 is an abundant number, since it is smaller than the sum of its proper divisors (525518394779968).

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

227668025281536 is a wasteful number, since it uses less digits than its factorization.

227668025281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 227668025281536 in words is "two hundred twenty-seven trillion, six hundred sixty-eight billion, twenty-five million, two hundred eighty-one thousand, five hundred thirty-six".