314264411324676 has 72 divisors (see below), whose sum is σ = 841139102886264. Its totient is φ = 98590453309440.

The previous prime is 314264411324671. The next prime is 314264411324711. The reversal of 314264411324676 is 676423114462413.

314264411324676 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 6 + 4 + 41 + 132 + 467 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117710348313600 + 196554063011076 = 10849440^2 + 14019774^2 .

It is not an unprimeable number, because it can be changed into a prime (314264411324671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20315736 + ... + 32268528.

It is an arithmetic number, because the mean of its divisors is an integer number (11682487540087).

Almost surely, 2^{314264411324676} is an apocalyptic number.

314264411324676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314264411324676 is an abundant number, since it is smaller than the sum of its proper divisors (526874691561588).

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

314264411324676 is a wasteful number, since it uses less digits than its factorization.

314264411324676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995781 (or 11995776 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 314264411324676 in words is "three hundred fourteen trillion, two hundred sixty-four billion, four hundred eleven million, three hundred twenty-four thousand, six hundred seventy-six".