11648230272000 has 2464 divisors, whose sum is σ = 52773317251200. Its totient is φ = 2503448985600.

The previous prime is 11648230271989. The next prime is 11648230272037. The reversal of 11648230272000 is 27203284611.

It is a happy number.

11648230272000 is a `hidden beast` number, since 1 + 1 + 648 + 2 + 3 + 0 + 2 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11104127476 + ... + 11104128524.

Almost surely, 2^{11648230272000} is an apocalyptic number.

11648230272000 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 11648230272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26386658625600).

11648230272000 is an abundant number, since it is smaller than the sum of its proper divisors (41125086979200).

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

11648230272000 is an equidigital number, since it uses as much as digits as its factorization.

11648230272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11648230272000 in words is "eleven trillion, six hundred forty-eight billion, two hundred thirty million, two hundred seventy-two thousand".