61144211244116 has 192 divisors, whose sum is σ = 146550042530304. Its totient is φ = 21551327078400.

The previous prime is 61144211243993. The next prime is 61144211244119.

61144211244116 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61144211244116² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61144211244116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61144211244119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67203710 + ... + 68107466.

It is an arithmetic number, because the mean of its divisors is an integer number (763281471512).

Almost surely, 2^{61144211244116} 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 61144211244116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73275021265152).

61144211244116 is an abundant number, since it is smaller than the sum of its proper divisors (85405831286188).

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

61144211244116 is a wasteful number, since it uses less digits than its factorization.

61144211244116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904130 (or 904128 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

It can be divided in two parts, 6114421 and 1244116, that added together give a palindrome (7358537).

The spelling of 61144211244116 in words is "sixty-one trillion, one hundred forty-four billion, two hundred eleven million, two hundred forty-four thousand, one hundred sixteen".