116913216 has 252 divisors, whose sum is σ = 391137648. Its totient is φ = 30707712.

The previous prime is 116913211. The next prime is 116913241. The reversal of 116913216 is 612319611.

Its product of digits (1944) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116913211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2718891 + ... + 2718933.

Almost surely, 2^116913216 is an apocalyptic number.

116913216 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 116913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195568824).

116913216 is an abundant number, since it is smaller than the sum of its proper divisors (274224432).

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

116913216 is a wasteful number, since it uses less digits than its factorization.

116913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 116913216 is about 10812.6414904037. The cubic root of 116913216 is about 488.9763664709.

The spelling of 116913216 in words is "one hundred sixteen million, nine hundred thirteen thousand, two hundred sixteen".