314412361416 has 24 divisors (see below), whose sum is σ = 851533479030. Its totient is φ = 104804120448.

The previous prime is 314412361363. The next prime is 314412361423. The reversal of 314412361416 is 614163214413.

314412361416 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 1 + 23 + 614 + 16 = 666.

314412361416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 280427438916 + 33984922500 = 529554^2 + 184350^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×314412361416² (a number of 24 digits) contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2183419105 + ... + 2183419248.

Almost surely, 2^314412361416 is an apocalyptic number.

314412361416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314412361416 is an abundant number, since it is smaller than the sum of its proper divisors (537121117614).

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

314412361416 is a wasteful number, since it uses less digits than its factorization.

314412361416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366838365 (or 4366838358 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 314412361416 its reverse (614163214413), we get a palindrome (928575575829).

The spelling of 314412361416 in words is "three hundred fourteen billion, four hundred twelve million, three hundred sixty-one thousand, four hundred sixteen".