227664345993084 has 2592 divisors, whose sum is σ = 859316563123200. Its totient is φ = 50171585587200.

The previous prime is 227664345993031. The next prime is 227664345993089. The reversal of 227664345993084 is 480399543466722.

It is a happy number.

227664345993084 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 6 + 4 + 3 + 459 + 93 + 0 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227664345993089) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 344424123714 + ... + 344424124374.

Almost surely, 2^{227664345993084} 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 227664345993084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429658281561600).

227664345993084 is an abundant number, since it is smaller than the sum of its proper divisors (631652217130116).

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

227664345993084 is a wasteful number, since it uses less digits than its factorization.

227664345993084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 227664345993084 in words is "two hundred twenty-seven trillion, six hundred sixty-four billion, three hundred forty-five million, nine hundred ninety-three thousand, eighty-four".