916642314 has 72 divisors (see below), whose sum is σ = 2354023620. Its totient is φ = 256943232.

The previous prime is 916642313. The next prime is 916642339. The reversal of 916642314 is 413246619.

916642314 is a `hidden beast` number, since 9 + 1 + 6 + 642 + 3 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 716900625 + 199741689 = 26775^2 + 14133^2 .

It is not an unprimeable number, because it can be changed into a prime (916642313) 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, 36942 + ... + 56550.

Almost surely, 2^916642314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916642314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177011810).

916642314 is an abundant number, since it is smaller than the sum of its proper divisors (1437381306).

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

916642314 is a wasteful number, since it uses less digits than its factorization.

916642314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19684 (or 19674 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 916642314 is about 30276.1013672500. The cubic root of 916642314 is about 971.4041781051.

The spelling of 916642314 in words is "nine hundred sixteen million, six hundred forty-two thousand, three hundred fourteen".