260463246736 has 135 divisors (see below), whose sum is σ = 645647365377. Its totient is φ = 101417944320.

The previous prime is 260463246731. The next prime is 260463246737. The reversal of 260463246736 is 637642364062.

The square root of 260463246736 is 510356.

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

260463246736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 82932480400 + 177530766336 = 287980^2 + 421344^2 .

It is a super-2 number, since 2×260463246736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 260463246736.

It is not an unprimeable number, because it can be changed into a prime (260463246731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 157188820 + ... + 157190476.

Almost surely, 2^260463246736 is an apocalyptic number.

260463246736 is the 510356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260463246736

260463246736 is an abundant number, since it is smaller than the sum of its proper divisors (385184118641).

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

260463246736 is an equidigital number, since it uses as much as digits as its factorization.

260463246736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 49.

Multiplying 260463246736 by its sum of digits (49), we get a square (12762699090064 = 3572492²).

260463246736 divided by its sum of digits (49) gives a square (5315576464 = 72908²).

The spelling of 260463246736 in words is "two hundred sixty billion, four hundred sixty-three million, two hundred forty-six thousand, seven hundred thirty-six".