11448083496960 has 1920 divisors, whose sum is σ = 46460481338880. Its totient is φ = 2683085783040.

The previous prime is 11448083496937. The next prime is 11448083497003. The reversal of 11448083496960 is 6969438084411.

11448083496960 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 8 + 0 + 83 + 496 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72917729202 + ... + 72917729358.

It is an arithmetic number, because the mean of its divisors is an integer number (24198167364).

Almost surely, 2^{11448083496960} is an apocalyptic number.

11448083496960 is a gapful number since it is divisible by the number (10) 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 11448083496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23230240669440).

11448083496960 is an abundant number, since it is smaller than the sum of its proper divisors (35012397841920).

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

11448083496960 is an frugal number, since it uses more digits than its factorization.

11448083496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 11448083496960 in words is "eleven trillion, four hundred forty-eight billion, eighty-three million, four hundred ninety-six thousand, nine hundred sixty".