1416312117 has 48 divisors (see below), whose sum is σ = 2356024320. Its totient is φ = 810842400.

The previous prime is 1416312067. The next prime is 1416312119. The reversal of 1416312117 is 7112136141.

1416312117 is a `hidden beast` number, since 1 + 4 + 1 + 631 + 21 + 1 + 7 = 666.

It is not a de Polignac number, because 1416312117 - 2¹² = 1416308021 is a prime.

It is a super-2 number, since 2×1416312117² = 4011880025522043378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416312119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809838 + ... + 811584.

It is an arithmetic number, because the mean of its divisors is an integer number (49083840).

Almost surely, 2^1416312117 is an apocalyptic number.

It is an amenable number.

1416312117 is a deficient number, since it is larger than the sum of its proper divisors (939712203).

1416312117 is a wasteful number, since it uses less digits than its factorization.

1416312117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2211 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1416312117 is about 37633.9224237921. The cubic root of 1416312117 is about 1123.0169818812.

Adding to 1416312117 its reverse (7112136141), we get a palindrome (8528448258).

The spelling of 1416312117 in words is "one billion, four hundred sixteen million, three hundred twelve thousand, one hundred seventeen".