614344007601 has 45 divisors (see below), whose sum is σ = 931248129009. Its totient is φ = 403613622144.

The previous prime is 614344007591. The next prime is 614344007611. The reversal of 614344007601 is 106700443416.

The square root of 614344007601 is 783801.

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

614344007601 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 4 + 40 + 0 + 7 + 601 = 666.

614344007601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (614344007591) and next prime (614344007611).

It can be written as a sum of positive squares in 4 ways, for example, as 4070567601 + 610273440000 = 63801^2 + 781200^2 .

It is not a de Polignac number, because 614344007601 - 2¹⁷ = 614343876529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (614344007611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 514956661 + ... + 514957853.

Almost surely, 2^614344007601 is an apocalyptic number.

614344007601 is the 783801-st square number.

614344007601 is the 391901-st centered octagonal number.

It is an amenable number.

614344007601 is a deficient number, since it is larger than the sum of its proper divisors (316904121408).

614344007601 is an frugal number, since it uses more digits than its factorization.

614344007601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 614344007601 by its sum of digits (36), we get a square (22116384273636 = 4702806²).

The spelling of 614344007601 in words is "six hundred fourteen billion, three hundred forty-four million, seven thousand, six hundred one".