58268902427649 has 9 divisors (see below), whose sum is σ = 84166225473603. Its totient is φ = 38845919684952.

The previous prime is 58268902427647. The next prime is 58268902427653. The reversal of 58268902427649 is 94672420986285.

The square root of 58268902427649 is 7633407.

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

58268902427649 is a `hidden beast` number, since 5 + 8 + 268 + 90 + 2 + 4 + 276 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9560507288049 + 48708395139600 = 3092007^2 + 6979140^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 58268902427649 - 2¹ = 58268902427647 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58268902427647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21627987 + ... + 24172455.

Almost surely, 2^{58268902427649} is an apocalyptic number.

58268902427649 is the 7633407-th square number.

58268902427649 is the 3816704-th centered octagonal number.

It is an amenable number.

58268902427649 is a deficient number, since it is larger than the sum of its proper divisors (25897323045954).

58268902427649 is an frugal number, since it uses more digits than its factorization.

58268902427649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088944 (or 2544472 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 58268902427649 in words is "fifty-eight trillion, two hundred sixty-eight billion, nine hundred two million, four hundred twenty-seven thousand, six hundred forty-nine".