117468127337616 has 240 divisors, whose sum is σ = 368369079149760. Its totient is φ = 34630338862080.

The previous prime is 117468127337569. The next prime is 117468127337629. The reversal of 117468127337616 is 616733721864711.

117468127337616 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 6 + 8 + 1 + 2 + 7 + 3 + 3 + 7 + 616 = 666.

117468127337616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 528122715 + ... + 528345093.

It is an arithmetic number, because the mean of its divisors is an integer number (1534871163124).

Almost surely, 2^{117468127337616} is an apocalyptic number.

117468127337616 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 117468127337616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184184539574880).

117468127337616 is an abundant number, since it is smaller than the sum of its proper divisors (250900951812144).

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

117468127337616 is a wasteful number, since it uses less digits than its factorization.

117468127337616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231454 (or 231445 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 117468127337616 in words is "one hundred seventeen trillion, four hundred sixty-eight billion, one hundred twenty-seven million, three hundred thirty-seven thousand, six hundred sixteen".