61563343116288 has 192 divisors, whose sum is σ = 177669998644320. Its totient is φ = 18844414377984.

The previous prime is 61563343116287. The next prime is 61563343116349. The reversal of 61563343116288 is 88261134336516.

61563343116288 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 (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61563343116283) 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 15 ways as a sum of consecutive naturals, for example, 13418470 + ... + 17412122.

Almost surely, 2^{61563343116288} 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 61563343116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88834999322160).

61563343116288 is an abundant number, since it is smaller than the sum of its proper divisors (116106655528032).

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

61563343116288 is a wasteful number, since it uses less digits than its factorization.

61563343116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993884 (or 3993864 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 61563343116288 in words is "sixty-one trillion, five hundred sixty-three billion, three hundred forty-three million, one hundred sixteen thousand, two hundred eighty-eight".