11484979200 has 672 divisors, whose sum is σ = 44205265920. Its totient is φ = 2919628800.

The previous prime is 11484979193. The next prime is 11484979237. The reversal of 11484979200 is 297948411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171417567 + ... + 171417633.

Almost surely, 2^11484979200 is an apocalyptic number.

11484979200 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 11484979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102632960).

11484979200 is an abundant number, since it is smaller than the sum of its proper divisors (32720286720).

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

11484979200 is an equidigital number, since it uses as much as digits as its factorization.

11484979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11484979200 in words is "eleven billion, four hundred eighty-four million, nine hundred seventy-nine thousand, two hundred".