11913306446448 has 480 divisors, whose sum is σ = 38760028699392. Its totient is φ = 3375831244800.

The previous prime is 11913306446429. The next prime is 11913306446479. The reversal of 11913306446448 is 84464460331911.

It is a happy number.

11913306446448 is a `hidden beast` number, since 1 + 1 + 9 + 133 + 0 + 6 + 4 + 464 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11913306446394 and 11913306446403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6169500043 + ... + 6169501973.

Almost surely, 2^{11913306446448} is an apocalyptic number.

11913306446448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11913306446448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380014349696).

11913306446448 is an abundant number, since it is smaller than the sum of its proper divisors (26846722252944).

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

11913306446448 is a wasteful number, since it uses less digits than its factorization.

11913306446448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 11913306446448 in words is "eleven trillion, nine hundred thirteen billion, three hundred six million, four hundred forty-six thousand, four hundred forty-eight".