11726460460448 has 48 divisors (see below), whose sum is σ = 24115939928640. Its totient is φ = 5602321460736.

The previous prime is 11726460460433. The next prime is 11726460460459. The reversal of 11726460460448 is 84406406462711.

It is a happy number.

It is a super-3 number, since 3×11726460460448³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11726460460448.

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 7 ways as a sum of consecutive naturals, for example, 7812338 + ... + 9191601.

It is an arithmetic number, because the mean of its divisors is an integer number (502415415180).

Almost surely, 2^{11726460460448} is an apocalyptic number.

It is an amenable number.

11726460460448 is an abundant number, since it is smaller than the sum of its proper divisors (12389479468192).

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

11726460460448 is a wasteful number, since it uses less digits than its factorization.

11726460460448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17004909 (or 17004901 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 53.

The spelling of 11726460460448 in words is "eleven trillion, seven hundred twenty-six billion, four hundred sixty million, four hundred sixty thousand, four hundred forty-eight".