7635589248049 has 15 divisors (see below), whose sum is σ = 8907815387243. Its totient is φ = 6544674727248.

The previous prime is 7635589248047. The next prime is 7635589248151. The reversal of 7635589248049 is 9408429855367.

The square root of 7635589248049 is 2763257.

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., 2693717975025 + 4941871273024 = 1641255^2 + 2223032^2 .

It is not a de Polignac number, because 7635589248049 - 2¹ = 7635589248047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7635589248047) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 135371397 + ... + 135427789.

Almost surely, 2^{7635589248049} is an apocalyptic number.

7635589248049 is the 2763257-th square number.

7635589248049 is the 1381629-th centered octagonal number.

It is an amenable number.

7635589248049 is a deficient number, since it is larger than the sum of its proper divisors (1272226139194).

7635589248049 is an frugal number, since it uses more digits than its factorization.

7635589248049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112814 (or 56400 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 70.

The spelling of 7635589248049 in words is "seven trillion, six hundred thirty-five billion, five hundred eighty-nine million, two hundred forty-eight thousand, forty-nine".