227561121792 has 192 divisors, whose sum is σ = 680408164800. Its totient is φ = 75142840320.

The previous prime is 227561121761. The next prime is 227561121817. The reversal of 227561121792 is 297121165722.

227561121792 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 611 + 21 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5897442 + ... + 5935902.

It is an arithmetic number, because the mean of its divisors is an integer number (3543792525).

Almost surely, 2^227561121792 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 227561121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340204082400).

227561121792 is an abundant number, since it is smaller than the sum of its proper divisors (452847043008).

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

227561121792 is a wasteful number, since it uses less digits than its factorization.

227561121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38599 (or 38573 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 227561121792 in words is "two hundred twenty-seven billion, five hundred sixty-one million, one hundred twenty-one thousand, seven hundred ninety-two".