12497451264 has 243 divisors, whose sum is σ = 38558954707. Its totient is φ = 3892150272.

The previous prime is 12497451233. The next prime is 12497451269. The reversal of 12497451264 is 46215479421.

The square root of 12497451264 is 111792.

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

12497451264 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 74 + 512 + 64 = 666.

12497451264 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 4 ways, for example, as 1747908864 + 10749542400 = 41808^2 + 103680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12497451269) 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 26 ways as a sum of consecutive naturals, for example, 91222204 + ... + 91222340.

Almost surely, 2^12497451264 is an apocalyptic number.

12497451264 is the 111792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12497451264

12497451264 is an abundant number, since it is smaller than the sum of its proper divisors (26061503443).

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

12497451264 is an equidigital number, since it uses as much as digits as its factorization.

12497451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 159 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

It can be divided in two parts, 12497 and 451264, that added together give a square (463761 = 681²).

The spelling of 12497451264 in words is "twelve billion, four hundred ninety-seven million, four hundred fifty-one thousand, two hundred sixty-four".