11303113454400 has 168 divisors, whose sum is σ = 37450797665184. Its totient is φ = 2984320256000.

The previous prime is 11303113454389. The next prime is 11303113454401. The reversal of 11303113454400 is 445431130311.

11303113454400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303113454401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11172702 + ... + 12142301.

Almost surely, 2^{11303113454400} is an apocalyptic number.

11303113454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11303113454400 is an abundant number, since it is smaller than the sum of its proper divisors (26147684210784).

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

11303113454400 is a wasteful number, since it uses less digits than its factorization.

11303113454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23315129 (or 23315114 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11303113454400 its reverse (445431130311), we get a palindrome (11748544584711).

The spelling of 11303113454400 in words is "eleven trillion, three hundred three billion, one hundred thirteen million, four hundred fifty-four thousand, four hundred".