11473722400 has 216 divisors, whose sum is σ = 33710225220. Its totient is φ = 3797821440.

The previous prime is 11473722397. The next prime is 11473722409. The reversal of 11473722400 is 422737411.

It can be written as a sum of positive squares in 6 ways, for example, as 4318592656 + 7155129744 = 65716^2 + 84588^2 .

It is not an unprimeable number, because it can be changed into a prime (11473722409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1131754 + ... + 1141846.

Almost surely, 2^11473722400 is an apocalyptic number.

11473722400 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 11473722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855112610).

11473722400 is an abundant number, since it is smaller than the sum of its proper divisors (22236502820).

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

11473722400 is a wasteful number, since it uses less digits than its factorization.

11473722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156 (or 10136 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 11473722400 in words is "eleven billion, four hundred seventy-three million, seven hundred twenty-two thousand, four hundred".