11446630400 has 144 divisors (see below), whose sum is σ = 30052451520. Its totient is φ = 4308992000.

The previous prime is 11446630379. The next prime is 11446630411. The reversal of 11446630400 is 403664411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863825 + ... + 876975.

It is an arithmetic number, because the mean of its divisors is an integer number (208697580).

Almost surely, 2^11446630400 is an apocalyptic number.

11446630400 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 11446630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026225760).

11446630400 is an abundant number, since it is smaller than the sum of its proper divisors (18605821120).

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

11446630400 is a wasteful number, since it uses less digits than its factorization.

11446630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 11446630400 in words is "eleven billion, four hundred forty-six million, six hundred thirty thousand, four hundred".