11452315200 has 336 divisors, whose sum is σ = 40002439680. Its totient is φ = 2858516480.

The previous prime is 11452315187. The next prime is 11452315241. The reversal of 11452315200 is 251325411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23908561 + ... + 23909039.

It is an arithmetic number, because the mean of its divisors is an integer number (119054880).

Almost surely, 2^11452315200 is an apocalyptic number.

11452315200 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 11452315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001219840).

11452315200 is an abundant number, since it is smaller than the sum of its proper divisors (28550124480).

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

11452315200 is a wasteful number, since it uses less digits than its factorization.

11452315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11452315200 in words is "eleven billion, four hundred fifty-two million, three hundred fifteen thousand, two hundred".