10789628549049 has 135 divisors (see below), whose sum is σ = 19923598391103. Its totient is φ = 5800933418112.

The previous prime is 10789628549047. The next prime is 10789628549053. The reversal of 10789628549049 is 94094582698701.

The square root of 10789628549049 is 3284757.

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

10789628549049 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 96 + 2 + 8 + 5 + 490 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8400229839225 + 2389398709824 = 2898315^2 + 1545768^2 .

It is not a de Polignac number, because 10789628549049 - 2¹ = 10789628549047 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10789628549047) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3517973214 + ... + 3517976280.

Almost surely, 2^{10789628549049} is an apocalyptic number.

10789628549049 is the 3284757-th square number.

10789628549049 is the 1642379-th centered octagonal number.

It is an amenable number.

10789628549049 is a deficient number, since it is larger than the sum of its proper divisors (9133969842054).

10789628549049 is an frugal number, since it uses more digits than its factorization.

10789628549049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 10789628549049 in words is "ten trillion, seven hundred eighty-nine billion, six hundred twenty-eight million, five hundred forty-nine thousand, forty-nine".