314993016 has 96 divisors (see below), whose sum is σ = 947574000. Its totient is φ = 96909696.

The previous prime is 314993011. The next prime is 314993057. The reversal of 314993016 is 610399413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314993011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32190 + ... + 40818.

Almost surely, 2^314993016 is an apocalyptic number.

314993016 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 314993016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473787000).

314993016 is an abundant number, since it is smaller than the sum of its proper divisors (632580984).

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

314993016 is a wasteful number, since it uses less digits than its factorization.

314993016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 314993016 is about 17748.0425962978. The cubic root of 314993016 is about 680.4041830101.

The spelling of 314993016 in words is "three hundred fourteen million, nine hundred ninety-three thousand, sixteen".