263365575445764 has 243 divisors, whose sum is σ = 737774021055253. Its totient is φ = 79156336459200.

The previous prime is 263365575445751. The next prime is 263365575445771. The reversal of 263365575445764 is 467544575563362.

It is a happy number.

The square root of 263365575445764 is 16228542.

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

263365575445764 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 6 + 5 + 5 + 7 + 5 + 44 + 576 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164847881276100 + 98517694169664 = 12839310^2 + 9925608^2 .

It is a super-2 number, since 2×263365575445764² (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 = 263365575445692 and 263365575445701.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140311973194 + ... + 140311975070.

Almost surely, 2^{263365575445764} is an apocalyptic number.

263365575445764 is the 16228542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263365575445764

263365575445764 is an abundant number, since it is smaller than the sum of its proper divisors (474408445609489).

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

263365575445764 is a wasteful number, since it uses less digits than its factorization.

263365575445764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 2024 counting only the distinct ones).

The product of its digits is 7620480000, while the sum is 72.

The spelling of 263365575445764 in words is "two hundred sixty-three trillion, three hundred sixty-five billion, five hundred seventy-five million, four hundred forty-five thousand, seven hundred sixty-four".