1306833076224 has 405 divisors, whose sum is σ = 4105846293003. Its totient is φ = 400346578944.

The previous prime is 1306833076201. The next prime is 1306833076261. The reversal of 1306833076224 is 4226703386031.

The square root of 1306833076224 is 1143168.

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

1306833076224 is a `hidden beast` number, since 1 + 30 + 68 + 330 + 7 + 6 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21856665600 + 1284976410624 = 147840^2 + 1133568^2 .

It is a super-2 number, since 2×1306833076224² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1306833076224.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5706694542 + ... + 5706694770.

Almost surely, 2^{1306833076224} is an apocalyptic number.

1306833076224 is the 1143168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306833076224

1306833076224 is an abundant number, since it is smaller than the sum of its proper divisors (2799013216779).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306833076224 is an frugal number, since it uses more digits than its factorization.

1306833076224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1306833076224 in words is "one trillion, three hundred six billion, eight hundred thirty-three million, seventy-six thousand, two hundred twenty-four".