11638485000 has 560 divisors, whose sum is σ = 42613359360. Its totient is φ = 2974320000.

The previous prime is 11638484981. The next prime is 11638485071. The reversal of 11638485000 is 58483611.

11638485000 is a `hidden beast` number, since 11 + 63 + 84 + 8 + 500 + 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 139 ways as a sum of consecutive naturals, for example, 112994949 + ... + 112995051.

Almost surely, 2^11638485000 is an apocalyptic number.

11638485000 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 11638485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21306679680).

11638485000 is an abundant number, since it is smaller than the sum of its proper divisors (30974874360).

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

11638485000 is an equidigital number, since it uses as much as digits as its factorization.

11638485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11638485000 in words is "eleven billion, six hundred thirty-eight million, four hundred eighty-five thousand".