11461206000 has 320 divisors, whose sum is σ = 38533248000. Its totient is φ = 2927232000.

The previous prime is 11461205993. The next prime is 11461206017. The reversal of 11461206000 is 60216411.

11461206000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34625835 + ... + 34626165.

It is an arithmetic number, because the mean of its divisors is an integer number (120416400).

Almost surely, 2^11461206000 is an apocalyptic number.

11461206000 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 11461206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19266624000).

11461206000 is an abundant number, since it is smaller than the sum of its proper divisors (27072042000).

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

11461206000 is a wasteful number, since it uses less digits than its factorization.

11461206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 11461206000 in words is "eleven billion, four hundred sixty-one million, two hundred six thousand".