116311611136 has 288 divisors, whose sum is σ = 290097561600. Its totient is φ = 45418475520.

The previous prime is 116311611131. The next prime is 116311611139. The reversal of 116311611136 is 631116113611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 116311611098 and 116311611107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116311611131) 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, 277593135 + ... + 277593553.

It is an arithmetic number, because the mean of its divisors is an integer number (1007283200).

Almost surely, 2^116311611136 is an apocalyptic number.

116311611136 is a gapful number since it is divisible by the number (16) 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 116311611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145048780800).

116311611136 is an abundant number, since it is smaller than the sum of its proper divisors (173785950464).

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

116311611136 is a wasteful number, since it uses less digits than its factorization.

116311611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its digits is 1944, while the sum is 31.

Adding to 116311611136 its reverse (631116113611), we get a palindrome (747427724747).

The spelling of 116311611136 in words is "one hundred sixteen billion, three hundred eleven million, six hundred eleven thousand, one hundred thirty-six".