227536632064 has 81 divisors (see below), whose sum is σ = 528461093307. Its totient is φ = 97492803072.

The previous prime is 227536632049. The next prime is 227536632079. The reversal of 227536632064 is 460236635722.

The square root of 227536632064 is 477008.

It is a perfect power (a square), and thus also a powerful number.

227536632064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (227536632049) and next prime (227536632079).

It is a super-2 number, since 2×227536632064² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53422767 + ... + 53427025.

Almost surely, 2^227536632064 is an apocalyptic number.

227536632064 is the 477008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227536632064

227536632064 is an abundant number, since it is smaller than the sum of its proper divisors (300924461243).

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

227536632064 is an frugal number, since it uses more digits than its factorization.

227536632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 227536632064 in words is "two hundred twenty-seven billion, five hundred thirty-six million, six hundred thirty-two thousand, sixty-four".