61128733782116 has 96 divisors (see below), whose sum is σ = 143760675260160. Its totient is φ = 21964534617600.

The previous prime is 61128733782101. The next prime is 61128733782119.

61128733782116 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61128733782116² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61128733782119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2442755 + ... + 11323626.

It is an arithmetic number, because the mean of its divisors is an integer number (1497507033960).

Almost surely, 2^{61128733782116} is an apocalyptic number.

It is an amenable number.

61128733782116 is an abundant number, since it is smaller than the sum of its proper divisors (82631941478044).

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

61128733782116 is a wasteful number, since it uses less digits than its factorization.

61128733782116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13767525 (or 13767523 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 56.

It can be divided in two parts, 6112873 and 3782116, that added together give a palindrome (9894989).

The spelling of 61128733782116 in words is "sixty-one trillion, one hundred twenty-eight billion, seven hundred thirty-three million, seven hundred eighty-two thousand, one hundred sixteen".