116462016 has 168 divisors, whose sum is σ = 377007120. Its totient is φ = 35228160.

The previous prime is 116461991. The next prime is 116462063. The reversal of 116462016 is 610264611.

116462016 is a `hidden beast` number, since 1 + 1 + 646 + 2 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208810 + ... + 209366.

It is an arithmetic number, because the mean of its divisors is an integer number (2244090).

Almost surely, 2^116462016 is an apocalyptic number.

116462016 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 116462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188503560).

116462016 is an abundant number, since it is smaller than the sum of its proper divisors (260545104).

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

116462016 is a wasteful number, since it uses less digits than its factorization.

116462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116462016 is about 10791.7568541920. The cubic root of 116462016 is about 488.3465244592.

The spelling of 116462016 in words is "one hundred sixteen million, four hundred sixty-two thousand, sixteen".