11452723200 has 702 divisors, whose sum is σ = 44589543284. Its totient is φ = 2807562240.

The previous prime is 11452723171. The next prime is 11452723213. The reversal of 11452723200 is 232725411.

11452723200 is a `hidden beast` number, since 1 + 1 + 452 + 7 + 2 + 3 + 200 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 266342379 + ... + 266342421.

Almost surely, 2^11452723200 is an apocalyptic number.

11452723200 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 11452723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22294771642).

11452723200 is an abundant number, since it is smaller than the sum of its proper divisors (33136820084).

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

11452723200 is a wasteful number, since it uses less digits than its factorization.

11452723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 11452723200 in words is "eleven billion, four hundred fifty-two million, seven hundred twenty-three thousand, two hundred".