1658060549649 has 99 divisors (see below), whose sum is σ = 2896957022427. Its totient is φ = 946211568624.

The previous prime is 1658060549647. The next prime is 1658060549669. The reversal of 1658060549649 is 9469450608561.

The square root of 1658060549649 is 1287657.

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

1658060549649 is a `hidden beast` number, since 1 + 6 + 5 + 80 + 6 + 0 + 549 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1024336289025 + 633724260624 = 1012095^2 + 796068^2 .

It is not a de Polignac number, because 1658060549649 - 2¹ = 1658060549647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1658060549647) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 2190304179 + ... + 2190304935.

Almost surely, 2^{1658060549649} is an apocalyptic number.

1658060549649 is the 1287657-th square number.

1658060549649 is the 643829-th centered octagonal number.

It is an amenable number.

1658060549649 is a deficient number, since it is larger than the sum of its proper divisors (1238896472778).

1658060549649 is an frugal number, since it uses more digits than its factorization.

1658060549649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 1658060549649 in words is "one trillion, six hundred fifty-eight billion, sixty million, five hundred forty-nine thousand, six hundred forty-nine".