116561656016 has 80 divisors (see below), whose sum is σ = 244222650000. Its totient is φ = 53574303744.

The previous prime is 116561655971. The next prime is 116561656031. The reversal of 116561656016 is 610656165611.

It can be written as a sum of positive squares in 8 ways, for example, as 1369296016 + 115192360000 = 37004^2 + 339400^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 93323360 + ... + 93324608.

It is an arithmetic number, because the mean of its divisors is an integer number (3052783125).

Almost surely, 2^116561656016 is an apocalyptic number.

116561656016 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 116561656016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122111325000).

116561656016 is an abundant number, since it is smaller than the sum of its proper divisors (127660993984).

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

116561656016 is a wasteful number, since it uses less digits than its factorization.

116561656016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 116561656016 in words is "one hundred sixteen billion, five hundred sixty-one million, six hundred fifty-six thousand, sixteen".