1488417080049 has 27 divisors (see below), whose sum is σ = 2191551601057. Its totient is φ = 973428945216.

The previous prime is 1488417079991. The next prime is 1488417080053. The reversal of 1488417080049 is 9400807148841.

The square root of 1488417080049 is 1220007.

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

1488417080049 is a `hidden beast` number, since 1 + 488 + 41 + 7 + 0 + 80 + 0 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 188132990049 + 1300284090000 = 433743^2 + 1140300^2 .

It is not a de Polignac number, because 1488417080049 - 2²¹ = 1488414982897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1488417079977 and 1488417080004.

It is not an unprimeable number, because it can be changed into a prime (1488417080069) 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, 193977277 + ... + 193984949.

Almost surely, 2^{1488417080049} is an apocalyptic number.

1488417080049 is the 1220007-th square number.

1488417080049 is the 610004-th centered octagonal number.

It is an amenable number.

1488417080049 is a deficient number, since it is larger than the sum of its proper divisors (703134521008).

1488417080049 is an frugal number, since it uses more digits than its factorization.

1488417080049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15458 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1488417080049 in words is "one trillion, four hundred eighty-eight billion, four hundred seventeen million, eighty thousand, forty-nine".