614968071601 has 27 divisors (see below), whose sum is σ = 671646132801. Its totient is φ = 562816485504.

The previous prime is 614968071593. The next prime is 614968071629. The reversal of 614968071601 is 106170869416.

The square root of 614968071601 is 784199.

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

It can be written as a sum of positive squares in 4 ways, for example, as 213443076001 + 401524995600 = 461999^2 + 633660^2 .

It is not a de Polignac number, because 614968071601 - 2³ = 614968071593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (614968051601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1824830905 + ... + 1824831241.

Almost surely, 2^614968071601 is an apocalyptic number.

614968071601 is the 784199-th square number.

614968071601 is the 392100-th centered octagonal number.

It is an amenable number.

614968071601 is a deficient number, since it is larger than the sum of its proper divisors (56678061200).

614968071601 is an frugal number, since it uses more digits than its factorization.

614968071601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 614968071601 by its sum of digits (49), we get a square (30133435508449 = 5489393²).

The spelling of 614968071601 in words is "six hundred fourteen billion, nine hundred sixty-eight million, seventy-one thousand, six hundred one".