11934648000 has 448 divisors, whose sum is σ = 47777034240. Its totient is φ = 2892672000.

The previous prime is 11934647999. The next prime is 11934648013. The reversal of 11934648000 is 84643911.

11934648000 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 4 + 648 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2373489 + ... + 2378511.

Almost surely, 2^11934648000 is an apocalyptic number.

11934648000 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 11934648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888517120).

11934648000 is an abundant number, since it is smaller than the sum of its proper divisors (35842386240).

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

11934648000 is a wasteful number, since it uses less digits than its factorization.

11934648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11934648000 in words is "eleven billion, nine hundred thirty-four million, six hundred forty-eight thousand".