69248448801 has 45 divisors (see below), whose sum is σ = 120363043779. Its totient is φ = 39561068736.

The previous prime is 69248448761. The next prime is 69248448809. The reversal of 69248448801 is 10884484296.

It is a happy number.

The square root of 69248448801 is 263151.

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

69248448801 is a `hidden beast` number, since 69 + 24 + 84 + 488 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63981173025 + 5267275776 = 252945^2 + 72576^2 .

It is not a de Polignac number, because 69248448801 - 2³⁵ = 34888710433 is a prime.

It is a super-2 number, since 2×69248448801² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (69248448809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16576425 + ... + 16580601.

Almost surely, 2^69248448801 is an apocalyptic number.

69248448801 is the 263151-st square number.

69248448801 is the 131576-th centered octagonal number.

It is an amenable number.

69248448801 is a deficient number, since it is larger than the sum of its proper divisors (51114594978).

69248448801 is an frugal number, since it uses more digits than its factorization.

69248448801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 69248448801 in words is "sixty-nine billion, two hundred forty-eight million, four hundred forty-eight thousand, eight hundred one".