11634282000 has 480 divisors, whose sum is σ = 45041652864. Its totient is φ = 2775168000.

The previous prime is 11634281987. The next prime is 11634282001. The reversal of 11634282000 is 28243611.

11634282000 is a `hidden beast` number, since 1 + 1 + 634 + 2 + 8 + 20 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11634282001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13265562 + ... + 13266438.

Almost surely, 2^11634282000 is an apocalyptic number.

11634282000 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 11634282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22520826432).

11634282000 is an abundant number, since it is smaller than the sum of its proper divisors (33407370864).

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

11634282000 is a wasteful number, since it uses less digits than its factorization.

11634282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11634282000 in words is "eleven billion, six hundred thirty-four million, two hundred eighty-two thousand".