12263835904576 has 63 divisors (see below), whose sum is σ = 25013671200777. Its totient is φ = 5965686155520.

The previous prime is 12263835904517. The next prime is 12263835904597. The reversal of 12263835904576 is 67540953836221.

The square root of 12263835904576 is 3501976.

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., 10973848782400 + 1289987122176 = 3312680^2 + 1135776^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1036578981 + ... + 1036590811.

It is a 1-persistent number, because it is pandigital, but 2⋅12263835904576 = 24527671809152 is not.

Almost surely, 2^{12263835904576} is an apocalyptic number.

12263835904576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12263835904576 is the 3501976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12263835904576

12263835904576 is an abundant number, since it is smaller than the sum of its proper divisors (12749835296201).

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

12263835904576 is an frugal number, since it uses more digits than its factorization.

12263835904576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23748 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 12263835904576 in words is "twelve trillion, two hundred sixty-three billion, eight hundred thirty-five million, nine hundred four thousand, five hundred seventy-six".