116918386560 has 384 divisors, whose sum is σ = 409087972800. Its totient is φ = 30767874048.

The previous prime is 116918386549. The next prime is 116918386561. The reversal of 116918386560 is 65683819611.

116918386560 is a `hidden beast` number, since 1 + 1 + 69 + 18 + 3 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 116918386497 and 116918386506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116918386561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 180708157 + ... + 180708803.

Almost surely, 2^116918386560 is an apocalyptic number.

116918386560 is a gapful number since it is divisible by the number (10) 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 116918386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204543986400).

116918386560 is an abundant number, since it is smaller than the sum of its proper divisors (292169586240).

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

116918386560 is a wasteful number, since it uses less digits than its factorization.

116918386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 116918386560 in words is "one hundred sixteen billion, nine hundred eighteen million, three hundred eighty-six thousand, five hundred sixty".