1224964181961 has 135 divisors (see below), whose sum is σ = 2004000023571. Its totient is φ = 721019123136.

The previous prime is 1224964181953. The next prime is 1224964181989. The reversal of 1224964181961 is 1691814694221.

The square root of 1224964181961 is 1106781.

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

1224964181961 is a `hidden beast` number, since 1 + 22 + 496 + 41 + 8 + 1 + 96 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 984232647225 + 240731534736 = 992085^2 + 490644^2 .

It is not a de Polignac number, because 1224964181961 - 2³ = 1224964181953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1224964181898 and 1224964181907.

It is not an unprimeable number, because it can be changed into a prime (1224964180961) 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, 20762104750 + ... + 20762104808.

Almost surely, 2^{1224964181961} is an apocalyptic number.

1224964181961 is the 1106781-st square number.

1224964181961 is the 553391-st centered octagonal number.

It is an amenable number.

1224964181961 is a deficient number, since it is larger than the sum of its proper divisors (779035841610).

1224964181961 is an frugal number, since it uses more digits than its factorization.

1224964181961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 112 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 1224964181961 in words is "one trillion, two hundred twenty-four billion, nine hundred sixty-four million, one hundred eighty-one thousand, nine hundred sixty-one".