116720349636096 has 1600 divisors, whose sum is σ = 375654865924800. Its totient is φ = 36022146564096.

The previous prime is 116720349636053. The next prime is 116720349636119. The reversal of 116720349636096 is 690636943027611.

116720349636096 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 20 + 3 + 496 + 36 + 0 + 96 = 666.

It is a super-2 number, since 2×116720349636096² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 851973354940 + ... + 851973355076.

It is an arithmetic number, because the mean of its divisors is an integer number (234784291203).

Almost surely, 2^{116720349636096} is an apocalyptic number.

116720349636096 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 116720349636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187827432962400).

116720349636096 is an abundant number, since it is smaller than the sum of its proper divisors (258934516288704).

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

116720349636096 is a wasteful number, since it uses less digits than its factorization.

116720349636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 116720349636096 in words is "one hundred sixteen trillion, seven hundred twenty billion, three hundred forty-nine million, six hundred thirty-six thousand, ninety-six".