11484872000 has 224 divisors, whose sum is σ = 33001403136. Its totient is φ = 3877632000.

The previous prime is 11484871967. The next prime is 11484872023. The reversal of 11484872000 is 27848411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3750470 + ... + 3753530.

Almost surely, 2^11484872000 is an apocalyptic number.

11484872000 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 11484872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16500701568).

11484872000 is an abundant number, since it is smaller than the sum of its proper divisors (21516531136).

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

11484872000 is an equidigital number, since it uses as much as digits as its factorization.

11484872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The spelling of 11484872000 in words is "eleven billion, four hundred eighty-four million, eight hundred seventy-two thousand".