116168394162240 has 1792 divisors, whose sum is σ = 500144788684800. Its totient is φ = 24778380017664.

The previous prime is 116168394162157. The next prime is 116168394162277. The reversal of 116168394162240 is 42261493861611.

116168394162240 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 6 + 8 + 3 + 9 + 4 + 1 + 622 + 4 + 0 = 666.

It is a super-2 number, since 2×116168394162240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 106283983134 + ... + 106283984226.

It is an arithmetic number, because the mean of its divisors is an integer number (279098654400).

Almost surely, 2^{116168394162240} is an apocalyptic number.

116168394162240 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 116168394162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250072394342400).

116168394162240 is an abundant number, since it is smaller than the sum of its proper divisors (383976394522560).

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

116168394162240 is a wasteful number, since it uses less digits than its factorization.

116168394162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 116168394162240 in words is "one hundred sixteen trillion, one hundred sixty-eight billion, three hundred ninety-four million, one hundred sixty-two thousand, two hundred forty".