1298416949361 has 63 divisors (see below), whose sum is σ = 2264944818171. Its totient is φ = 741829478544.

The previous prime is 1298416949329. The next prime is 1298416949399. The reversal of 1298416949361 is 1639496148921.

The square root of 1298416949361 is 1139481.

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

1298416949361 is a `hidden beast` number, since 1 + 2 + 9 + 84 + 1 + 6 + 9 + 493 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1213701025761 + 84715923600 = 1101681^2 + 291060^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 1298416949361 - 2⁵ = 1298416949329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1298416949311) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 215358895 + ... + 215364923.

Almost surely, 2^{1298416949361} is an apocalyptic number.

1298416949361 is the 1139481-st square number.

1298416949361 is the 569741-st centered octagonal number.

It is an amenable number.

1298416949361 is a deficient number, since it is larger than the sum of its proper divisors (966527868810).

1298416949361 is an frugal number, since it uses more digits than its factorization.

1298416949361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12090 (or 6039 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 1298416949361 in words is "one trillion, two hundred ninety-eight billion, four hundred sixteen million, nine hundred forty-nine thousand, three hundred sixty-one".