11400450000000 has 288 divisors, whose sum is σ = 37853535306480. Its totient is φ = 3040080000000.

The previous prime is 11400449999999. The next prime is 11400450000001. The reversal of 11400450000000 is 5400411.

It is an interprime number because it is at equal distance from previous prime (11400449999999) and next prime (11400450000001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11400450000001) 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, 149961999 + ... + 150038001.

Almost surely, 2^{11400450000000} is an apocalyptic number.

11400450000000 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 11400450000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926767653240).

11400450000000 is an abundant number, since it is smaller than the sum of its proper divisors (26453085306480).

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

11400450000000 is an frugal number, since it uses more digits than its factorization.

11400450000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76060 (or 76013 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 11400450000000 its reverse (5400411), we get a palindrome (11400455400411).

The spelling of 11400450000000 in words is "eleven trillion, four hundred billion, four hundred fifty million", and thus it is an aban number.