4895660961 has 27 divisors (see below), whose sum is σ = 7183298707. Its totient is φ = 3212976480.

The previous prime is 4895660923. The next prime is 4895660963. The reversal of 4895660961 is 1690665984.

It is a happy number.

The square root of 4895660961 is 69969.

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

It can be written as a sum of positive squares in only one way, i.e., 3308435361 + 1587225600 = 57519^2 + 39840^2 .

It is not a de Polignac number, because 4895660961 - 2⁹ = 4895660449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4895660898 and 4895660907.

It is not an unprimeable number, because it can be changed into a prime (4895660963) 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, 17422141 + ... + 17422421.

Almost surely, 2^4895660961 is an apocalyptic number.

4895660961 is the 69969-th square number.

4895660961 is the 34985-th centered octagonal number.

It is an amenable number.

4895660961 is a deficient number, since it is larger than the sum of its proper divisors (2287637746).

4895660961 is an frugal number, since it uses more digits than its factorization.

4895660961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The cubic root of 4895660961 is about 1697.9977535379.

It can be divided in two parts, 4895 and 660961, that added together give a square (665856 = 816²).

The spelling of 4895660961 in words is "four billion, eight hundred ninety-five million, six hundred sixty thousand, nine hundred sixty-one".