61226143560288 has 144 divisors (see below), whose sum is σ = 199066634151840. Its totient is φ = 17486004307968.

The previous prime is 61226143560277. The next prime is 61226143560289. The reversal of 61226143560288 is 88206534162216.

61226143560288 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 6 + 1 + 4 + 356 + 0 + 288 = 666.

61226143560288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61226143560289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318053 + ... + 11144036.

It is an arithmetic number, because the mean of its divisors is an integer number (1382407181610).

Almost surely, 2^{61226143560288} 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 61226143560288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99533317075920).

61226143560288 is an abundant number, since it is smaller than the sum of its proper divisors (137840490591552).

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

61226143560288 is a wasteful number, since it uses less digits than its factorization.

61226143560288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12464549 (or 12464538 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 61226143560288 in words is "sixty-one trillion, two hundred twenty-six billion, one hundred forty-three million, five hundred sixty thousand, two hundred eighty-eight".