11478033000 has 768 divisors, whose sum is σ = 47971123200. Its totient is φ = 2416780800.

The previous prime is 11478032963. The next prime is 11478033001. The reversal of 11478033000 is 33087411.

It is not an unprimeable number, because it can be changed into a prime (11478033001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51470889 + ... + 51471111.

It is an arithmetic number, because the mean of its divisors is an integer number (62462400).

Almost surely, 2^11478033000 is an apocalyptic number.

11478033000 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 11478033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985561600).

11478033000 is an abundant number, since it is smaller than the sum of its proper divisors (36493090200).

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

11478033000 is a wasteful number, since it uses less digits than its factorization.

11478033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11478033000 in words is "eleven billion, four hundred seventy-eight million, thirty-three thousand".