61061311316016 has 180 divisors, whose sum is σ = 187846304356984. Its totient is φ = 18502247301120.

The previous prime is 61061311316009. The next prime is 61061311316029.

61061311316016 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 1 + 3 + 11 + 31 + 601 + 6 = 666.

61061311316016 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61061311316016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295460016 + ... + 295666608.

Almost surely, 2^{61061311316016} is an apocalyptic number.

61061311316016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61061311316016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93923152178492).

61061311316016 is an abundant number, since it is smaller than the sum of its proper divisors (126784993040968).

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

61061311316016 is a wasteful number, since it uses less digits than its factorization.

61061311316016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223592 (or 223572 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 61061311316016 in words is "sixty-one trillion, sixty-one billion, three hundred eleven million, three hundred sixteen thousand, sixteen".