248881008577369 has 9 divisors (see below), whose sum is σ = 289514771092287. Its totient is φ = 213326484124824.

The previous prime is 248881008577339. The next prime is 248881008577391. The reversal of 248881008577369 is 963775800188842.

The square root of 248881008577369 is 15775963.

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

It can be written as a sum of positive squares in only one way, i.e., 63825453769 + 248817183123600 = 252637^2 + 15773940^2 .

It is not a de Polignac number, because 248881008577369 - 2¹⁹ = 248881008053081 is a prime.

It is a super-2 number, since 2×248881008577369² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248881008577295 and 248881008577304.

It is not an unprimeable number, because it can be changed into a prime (248881008577319) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109304887 + ... + 111558595.

It is an arithmetic number, because the mean of its divisors is an integer number (32168307899143).

It is a 2-persistent number, because it is pandigital, and so is 2⋅248881008577369 = 497762017154738, but 3⋅248881008577369 = 746643025732107 is not.

Almost surely, 2^{248881008577369} is an apocalyptic number.

248881008577369 is the 15775963-rd square number.

248881008577369 is the 7887982-nd centered octagonal number.

It is an amenable number.

248881008577369 is a deficient number, since it is larger than the sum of its proper divisors (40633762514918).

248881008577369 is an frugal number, since it uses more digits than its factorization.

248881008577369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507432 (or 2253716 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 76.

The spelling of 248881008577369 in words is "two hundred forty-eight trillion, eight hundred eighty-one billion, eight million, five hundred seventy-seven thousand, three hundred sixty-nine".