116954343728640 has 2560 divisors, whose sum is σ = 477884841984000. Its totient is φ = 26854745702400.

The previous prime is 116954343728633. The next prime is 116954343728659. The reversal of 116954343728640 is 46827343459611.

116954343728640 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 5 + 4 + 343 + 7 + 286 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 266410805541 + ... + 266410805979.

It is an arithmetic number, because the mean of its divisors is an integer number (186673766400).

It is a 1-persistent number, because it is pandigital, but 2⋅116954343728640 = 233908687457280 is not.

Almost surely, 2^{116954343728640} is an apocalyptic number.

116954343728640 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 116954343728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238942420992000).

116954343728640 is an abundant number, since it is smaller than the sum of its proper divisors (360930498255360).

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

116954343728640 is a wasteful number, since it uses less digits than its factorization.

116954343728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 116954343728640 in words is "one hundred sixteen trillion, nine hundred fifty-four billion, three hundred forty-three million, seven hundred twenty-eight thousand, six hundred forty".