11496303984400 has 45 divisors (see below), whose sum is σ = 27620033242773. Its totient is φ = 4598494468800.

The previous prime is 11496303984371. The next prime is 11496303984427. The reversal of 11496303984400 is 448930369411.

The square root of 11496303984400 is 3390620.

It is a perfect power (a square), and thus also a powerful number.

11496303984400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4138669434384 + 7357634550016 = 2034372^2 + 2712496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67727635 + ... + 67897165.

Almost surely, 2^{11496303984400} is an apocalyptic number.

11496303984400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11496303984400 is the 3390620-th square number.

It is an amenable number.

11496303984400 is an abundant number, since it is smaller than the sum of its proper divisors (16123729258373).

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

11496303984400 is an frugal number, since it uses more digits than its factorization.

11496303984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339080 (or 169538 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 11496303984400 in words is "eleven trillion, four hundred ninety-six billion, three hundred three million, nine hundred eighty-four thousand, four hundred".