19849457504529 has 27 divisors (see below), whose sum is σ = 29354572662363. Its totient is φ = 12924853899552.

The previous prime is 19849457504473. The next prime is 19849457504561. The reversal of 19849457504529 is 92540575494891.

The square root of 19849457504529 is 4455273.

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

19849457504529 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 9 + 4 + 575 + 0 + 45 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3324842262225 + 16524615242304 = 1823415^2 + 4065048^2 .

It is not a de Polignac number, because 19849457504529 - 2¹⁷ = 19849457373457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19849457544529) 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, 574712949 + ... + 574747485.

Almost surely, 2^{19849457504529} is an apocalyptic number.

19849457504529 is the 4455273-rd square number.

19849457504529 is the 2227637-th centered octagonal number.

It is an amenable number.

19849457504529 is a deficient number, since it is larger than the sum of its proper divisors (9505115157834).

19849457504529 is an frugal number, since it uses more digits than its factorization.

19849457504529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69166 (or 34583 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 19849457504529 in words is "nineteen trillion, eight hundred forty-nine billion, four hundred fifty-seven million, five hundred four thousand, five hundred twenty-nine".