116918006768640 has 3168 divisors, whose sum is σ = 552874543633152. Its totient is φ = 22116984422400.

The previous prime is 116918006768603. The next prime is 116918006768687. The reversal of 116918006768640 is 46867600819611.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57966288912 + ... + 57966290928.

Almost surely, 2^{116918006768640} is an apocalyptic number.

116918006768640 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 116918006768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276437271816576).

116918006768640 is an abundant number, since it is smaller than the sum of its proper divisors (435956536864512).

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

116918006768640 is a wasteful number, since it uses less digits than its factorization.

116918006768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 116918006768640 in words is "one hundred sixteen trillion, nine hundred eighteen billion, six million, seven hundred sixty-eight thousand, six hundred forty".