1428352448769 has 75 divisors (see below), whose sum is σ = 2215822548687. Its totient is φ = 916947350784.

The previous prime is 1428352448767. The next prime is 1428352448813. The reversal of 1428352448769 is 9678442538241.

The square root of 1428352448769 is 1195137.

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

1428352448769 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 3 + 524 + 48 + 7 + 69 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7755444225 + 1420597004544 = 88065^2 + 1191888^2 .

It is not a de Polignac number, because 1428352448769 - 2¹ = 1428352448767 is a prime.

It is a super-2 number, since 2×1428352448769² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1428352448767) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 14725282929 + ... + 14725283025.

Almost surely, 2^{1428352448769} is an apocalyptic number.

1428352448769 is the 1195137-th square number.

1428352448769 is the 597569-th centered octagonal number.

It is an amenable number.

1428352448769 is a deficient number, since it is larger than the sum of its proper divisors (787470099918).

1428352448769 is an frugal number, since it uses more digits than its factorization.

1428352448769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 137 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 1428352448769 in words is "one trillion, four hundred twenty-eight billion, three hundred fifty-two million, four hundred forty-eight thousand, seven hundred sixty-nine".