316114416 has 60 divisors (see below), whose sum is σ = 893312368. Its totient is φ = 104343552.

The previous prime is 316114411. The next prime is 316114427. The reversal of 316114416 is 614411613.

316114416 is a `hidden beast` number, since 3 + 1 + 611 + 4 + 41 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 316114416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316114411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4176 + ... + 25488.

Almost surely, 2^316114416 is an apocalyptic number.

316114416 is a gapful number since it is divisible by the number (36) 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 316114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446656184).

316114416 is an abundant number, since it is smaller than the sum of its proper divisors (577197952).

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

316114416 is a wasteful number, since it uses less digits than its factorization.

316114416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21430 (or 21421 counting only the distinct ones).

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

The square root of 316114416 is about 17779.6067448074. The cubic root of 316114416 is about 681.2106575939.

The spelling of 316114416 in words is "three hundred sixteen million, one hundred fourteen thousand, four hundred sixteen".