11649216000 has 640 divisors, whose sum is σ = 42468281856. Its totient is φ = 2821324800.

The previous prime is 11649215863. The next prime is 11649216013. The reversal of 11649216000 is 61294611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 140351959 + ... + 140352041.

Almost surely, 2^11649216000 is an apocalyptic number.

11649216000 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 11649216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234140928).

11649216000 is an abundant number, since it is smaller than the sum of its proper divisors (30819065856).

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

11649216000 is an equidigital number, since it uses as much as digits as its factorization.

11649216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 11649216000 in words is "eleven billion, six hundred forty-nine million, two hundred sixteen thousand".