614438067321 has 81 divisors (see below), whose sum is σ = 975555823437. Its totient is φ = 372490747200.

The previous prime is 614438067311. The next prime is 614438067349. The reversal of 614438067321 is 123760834416.

The square root of 614438067321 is 783861.

It is a perfect power (a square), and thus also a powerful number.

614438067321 is a `hidden beast` number, since 61 + 443 + 80 + 6 + 73 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23175495225 + 591262572096 = 152235^2 + 768936^2 .

It is not a de Polignac number, because 614438067321 - 2¹¹ = 614438065273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (614438067311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3087628380 + ... + 3087628578.

Almost surely, 2^614438067321 is an apocalyptic number.

614438067321 is the 783861-st square number.

614438067321 is the 391931-st centered octagonal number.

It is an amenable number.

614438067321 is a deficient number, since it is larger than the sum of its proper divisors (361117756116).

614438067321 is a wasteful number, since it uses less digits than its factorization.

614438067321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 614438067321 in words is "six hundred fourteen billion, four hundred thirty-eight million, sixty-seven thousand, three hundred twenty-one".