227640153312 has 1152 divisors, whose sum is σ = 829866885120. Its totient is φ = 58226688000.

The previous prime is 227640153289. The next prime is 227640153313. The reversal of 227640153312 is 213351046722.

227640153312 is a `hidden beast` number, since 2 + 2 + 7 + 640 + 1 + 5 + 3 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227640153313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2881520889 + ... + 2881520967.

It is an arithmetic number, because the mean of its divisors is an integer number (720370560).

Almost surely, 2^227640153312 is an apocalyptic number.

227640153312 is a gapful number since it is divisible by the number (22) 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 227640153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414933442560).

227640153312 is an abundant number, since it is smaller than the sum of its proper divisors (602226731808).

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

227640153312 is a wasteful number, since it uses less digits than its factorization.

227640153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 227640153312 in words is "two hundred twenty-seven billion, six hundred forty million, one hundred fifty-three thousand, three hundred twelve".