11114351054400 has 336 divisors, whose sum is σ = 39906422486208. Its totient is φ = 2685775872000.

The previous prime is 11114351054393. The next prime is 11114351054437. The reversal of 11114351054400 is 445015341111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16190140 + ... + 16862660.

Almost surely, 2^{11114351054400} is an apocalyptic number.

11114351054400 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 11114351054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953211243104).

11114351054400 is an abundant number, since it is smaller than the sum of its proper divisors (28792071431808).

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

11114351054400 is a wasteful number, since it uses less digits than its factorization.

11114351054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672870 (or 672855 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 11114351054400 its reverse (445015341111), we get a palindrome (11559366395511).

The spelling of 11114351054400 in words is "eleven trillion, one hundred fourteen billion, three hundred fifty-one million, fifty-four thousand, four hundred".